International Journal of Electrical and Computer Engineering (IJECE), 2020
In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance ... more In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance mappings and employ this new definition to prove some fixed point result. Moreover, we introduced an interesting example and an application to highlight the importance of our work.
it is started in the article some didactic thoughts concerning to conduct a monitoring, to evalua... more it is started in the article some didactic thoughts concerning to conduct a monitoring, to evaluate the level of competence, innovative form, method, means of teaching, competency indicators and typology of competence in forming professional competence of the future English teacher.
Este estudo objetiva relatar experiencias extensionistas de acoes de educacao em saude, utilizand... more Este estudo objetiva relatar experiencias extensionistas de acoes de educacao em saude, utilizando o Circulo de Cultura de Paulo Freire a um grupo de gestantes no Centro de Saude da Familia do bairro Sumare, municipio de Sobral, Ceara. Os metodos adotados para esse fim se desenvolveram em quatro encontros, os quais foram programados observando as necessidades das proprias gestantes e seguindo as tecnicas do Circulo de Cultura de Paulo Freire, onde atraves do universo vocabular e de palavras geradoras, sondamos os conhecimentos previos sobre gestacao e identificamos as necessidades apontadas pelas gestantes, no sentido de melhor esclarecer e sanar suas duvidas sobre o periodo gravidico. Os encontros foram realizados conforme as escolhas das gestantes, adotando temas pertinentes como: aleitamento materno, cuidados com o corpo durante a gestacao, alimentacao saudavel, parto e puerperio. Contou com o apoio das enfermeiras da unidade de saude, bem como, da equipe do Nucleo de Apoio a Sau...
We introduce in this article the notion of ( ψ , ϕ ) - quasi contraction for a pair of functions ... more We introduce in this article the notion of ( ψ , ϕ ) - quasi contraction for a pair of functions on a quasi-metric space. We also investigate the existence and uniqueness of the fixed point for a couple functions under that contraction.
In this paper, we introduce the concept of a rectangular metric-like space, along with its topolo... more In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces.
In this paper, an improved fault detection method is proposed based on kernel partial least squar... more In this paper, an improved fault detection method is proposed based on kernel partial least squares (KPLS) model and generalized likelihood ratio test (GLRT) detection chart in order to enhance the monitoring abilities of nonlinear chemical processes. To deal with both high computational cost for large data set and time-varying dynamics of industrial processes, the proposed method is used to select a reduced set of kernel functions to build the KPLS model and applies it for online fault detection based on GLRT chart. Comparing with the conventional KPLS technique, the proposed method has the advantages of improving the computation efficiency by decreasing the dimension of kernel matrix. The developed online reduced KPLS-based GLRT (OR-GLRT) could improve the fault detection efficiency since it is able to track the time-varying characteristics of the processes. The fault detection performance of the developed OR-GLRT method is evaluated using a Tennessee Eastman process. The simulation results show that the proposed method outperforms the conventional GLRT technique.
In 1989, Bakhtin [1] introduced the concept of b-metric spaces as a generalization of the standar... more In 1989, Bakhtin [1] introduced the concept of b-metric spaces as a generalization of the standard concept of metric spaces, while the result of Bakhtin became known more by Czerwik [2]. For some results in b-metric spaces, we refer the reader to [3]–[8]. The notion of generalization of metric spaces, called a G-metric space was investigated by Mustafa and Sims [9] in 2006. After that many authors studied many results on fixed and common fixed point in G-metric spaces; for example see [10]–[15]. In 2012 Jleli and Samet et al. [16] derived some known fixed point theorems in G-metric spaces by using the concept of quasi metric spaces. The clever paper of Jleli and Samet et al [16] reduces some fixed point theorems from G-metric spaces to standard metric spaces. In 2010 Saadatiet.al. [17] introduced the concept of Ω-distance as a generalization of Ω-distance [18] and studied some fixed point results. Recently, many authors [19]–[23], [25] obtained many fixed point results by using the ...
Food processing can be considered as a non-deterministic phenomenon due to the intrinsic variabil... more Food processing can be considered as a non-deterministic phenomenon due to the intrinsic variability and heterogeneity of food and the stochastic nature of food processing operations. Theoretical solutions based on functions of random variables are derived to characterise the output of a probabilistic, first-order, thermal process. The solutions are applied to the process of biscuit cooling. The theoretical predictions are compared with numerical Monte Carlo output and experimental results. The utility of the approach in improving the design of these processes is outlined. Keywords: probabilistic modelling, monte carlo simulation, thermal process, biscuit cooling, process design. 2 CONTENTS INTRODUCTION 3 THEORY 3 Probabilistic Thermal Process Modelling 3 Functions of Random Variables 4 Theoretical Solutions 5 EXAMPLE -- BISCUIT COOLING 8 Deterministic Cooling Model ............................................................................................. 8 Experimental Work ....
A class of random dynamical systems is considered. We discuss a class of problems arising from an... more A class of random dynamical systems is considered. We discuss a class of problems arising from an example in food production likely to have wider applicability in the content of industrial quality control. Permanent address: Institute for Information Transmission Problems, Russian Academy of Science, 19 Bolshoi Karetny lane, Moscow 101447, Russia. Contents 1 Introduction 3 2 General results 6 2.1 Mathematical setup . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Main result . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Proof of the theorem . . . . . . . . . . . . . . . . . . . . . . . 10 3 Some particular cases 13 3.1 Scalar systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2 Coordinate-wise monotone systems . . . . . . . . . . . . . . . 14 3.3 Control theory type systems . . . . . . . . . . . . . . . . . . . 15 A Appendix 17 1 Introduction This is basically a paper in mathematical control theory. In general terms, we are interested in...
International journal of pure and applied mathematics, 2011
Functions on infinite graphs are studied, keeping infinite electrical grids and Markov chains as ... more Functions on infinite graphs are studied, keeping infinite electrical grids and Markov chains as models. The techniques used for this study are based on those from the classical and axiomatic potential theory and the ana- lytic function theory on the complex plane and Riemann surfaces. This paper investigates Dirichlet problem in the context of an infinite network.
On a finite set of vertices E in a Cartier tree, using the Green’s formula, the Dirichlet semi-no... more On a finite set of vertices E in a Cartier tree, using the Green’s formula, the Dirichlet semi-norm is defined and the Dirichlet solution on E is obtained as the projection on the closed subspace of harmonic functions on E.
Nonlinear functional analysis and applications, 2018
In this paper we prove a Suzuki type unique common coupled fixed point theorem for two pairs of w... more In this paper we prove a Suzuki type unique common coupled fixed point theorem for two pairs of w -compatible mappings along with ( ψ − φ ) - and Rational contraction conditions in S_ b -metric spaces. We also furnish an example as well as application to integral equation.
In this paper we introduce the concept of the rectangular metric like spaces, along with its topo... more In this paper we introduce the concept of the rectangular metric like spaces, along with its topology and we prove some fixed point theorems under different contraction principles. We introduce the concept of modified metric-like space as well and prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the proven results and enrich the new introduced metric type spaces.
In this article, we utilize the notion of Ω-distance in the sense of Saadati et al [ R. Saadati, ... more In this article, we utilize the notion of Ω-distance in the sense of Saadati et al [ R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, Mathematical and Computer Modeling, 52, 797-801, 2010 ] to introduce and prove some fixed point results of self-mapping under contraction conditions of the form Ω-Suzuki-contractions.
This manuscript aims to prove exciting results that unify and generalize several metric space res... more This manuscript aims to prove exciting results that unify and generalize several metric space results with a graph. As an application, we apply our results to consider sufficient conditions to guarantee the differential equations' existence solution with infinite delay.
On an infinite network X with transition functions that need not be symmetric, biharmonic and bis... more On an infinite network X with transition functions that need not be symmetric, biharmonic and bisuperharmonic functions ar defined and their properties derived. A representation for positive bisuperharmonic functions that are superharmonic on X is obtained by using the Choquet integral representation theorem. AMS Subject Classification: 31C20, 31D05
Based on the existence of discrete Lp− subharmonic functions, a classification of infinite networ... more Based on the existence of discrete Lp− subharmonic functions, a classification of infinite networks is carried out.
The equilibrium problem and the condenser problem have been solved in finite networks. This note ... more The equilibrium problem and the condenser problem have been solved in finite networks. This note considers such problems in the context of infinite networks and trees. The basic tool employed is the solution of a Dirichlet problem for an arbitrary subset of an infinite network.
Very recently, Mehadi et al [M. Asadi, E. Karap{\i}nar, and P. Salimi, New extension of partial m... more Very recently, Mehadi et al [M. Asadi, E. Karap{\i}nar, and P. Salimi, New extension of partial metric spaces with some fixed-point results on $M-$metric spaces] extended the partial metric spaces to the notion of $M-$metric spaces. In this article, we study some relations between partial metric spaces and $M-$metric spaces. Also, we generalize Caristi Kirki's Theorem from partial metric spaces to $M-$metric spaces, where we corrected some gaps in the proof of the main Theorem in E. Karap\i nar [E. Karap\i nar, Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces, Fixed Point Theory Appl. 2011: 4, (2011)]. We close our contribution by introducing some examples to validate and verify our extension results.
Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in gene... more Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, {\it Mathematical and Computer Modeling,} \textbf{52}, 797-801, 2010] introduced the notion of $\Omega$-distance mappings and studied some existing fixed point results. In this paper, we employ the notion of $\Omega$-distance and some functions defined on $[0,+\infty)$ to introduce some new nonlinear contractions of Suzuki types. We utilize our new notions to formulate and proved many fixed and common fixed point results. Our results improve and extend many results in literature.
International Journal of Electrical and Computer Engineering (IJECE), 2020
In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance ... more In this Article, we introduce the notion of an ∈φ-contraction which based on modified ω-distance mappings and employ this new definition to prove some fixed point result. Moreover, we introduced an interesting example and an application to highlight the importance of our work.
it is started in the article some didactic thoughts concerning to conduct a monitoring, to evalua... more it is started in the article some didactic thoughts concerning to conduct a monitoring, to evaluate the level of competence, innovative form, method, means of teaching, competency indicators and typology of competence in forming professional competence of the future English teacher.
Este estudo objetiva relatar experiencias extensionistas de acoes de educacao em saude, utilizand... more Este estudo objetiva relatar experiencias extensionistas de acoes de educacao em saude, utilizando o Circulo de Cultura de Paulo Freire a um grupo de gestantes no Centro de Saude da Familia do bairro Sumare, municipio de Sobral, Ceara. Os metodos adotados para esse fim se desenvolveram em quatro encontros, os quais foram programados observando as necessidades das proprias gestantes e seguindo as tecnicas do Circulo de Cultura de Paulo Freire, onde atraves do universo vocabular e de palavras geradoras, sondamos os conhecimentos previos sobre gestacao e identificamos as necessidades apontadas pelas gestantes, no sentido de melhor esclarecer e sanar suas duvidas sobre o periodo gravidico. Os encontros foram realizados conforme as escolhas das gestantes, adotando temas pertinentes como: aleitamento materno, cuidados com o corpo durante a gestacao, alimentacao saudavel, parto e puerperio. Contou com o apoio das enfermeiras da unidade de saude, bem como, da equipe do Nucleo de Apoio a Sau...
We introduce in this article the notion of ( ψ , ϕ ) - quasi contraction for a pair of functions ... more We introduce in this article the notion of ( ψ , ϕ ) - quasi contraction for a pair of functions on a quasi-metric space. We also investigate the existence and uniqueness of the fixed point for a couple functions under that contraction.
In this paper, we introduce the concept of a rectangular metric-like space, along with its topolo... more In this paper, we introduce the concept of a rectangular metric-like space, along with its topology, and we prove some fixed point theorems for different contraction types. We also introduce the concept of modified metric-like spaces and we prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the new introduced metric type spaces.
In this paper, an improved fault detection method is proposed based on kernel partial least squar... more In this paper, an improved fault detection method is proposed based on kernel partial least squares (KPLS) model and generalized likelihood ratio test (GLRT) detection chart in order to enhance the monitoring abilities of nonlinear chemical processes. To deal with both high computational cost for large data set and time-varying dynamics of industrial processes, the proposed method is used to select a reduced set of kernel functions to build the KPLS model and applies it for online fault detection based on GLRT chart. Comparing with the conventional KPLS technique, the proposed method has the advantages of improving the computation efficiency by decreasing the dimension of kernel matrix. The developed online reduced KPLS-based GLRT (OR-GLRT) could improve the fault detection efficiency since it is able to track the time-varying characteristics of the processes. The fault detection performance of the developed OR-GLRT method is evaluated using a Tennessee Eastman process. The simulation results show that the proposed method outperforms the conventional GLRT technique.
In 1989, Bakhtin [1] introduced the concept of b-metric spaces as a generalization of the standar... more In 1989, Bakhtin [1] introduced the concept of b-metric spaces as a generalization of the standard concept of metric spaces, while the result of Bakhtin became known more by Czerwik [2]. For some results in b-metric spaces, we refer the reader to [3]–[8]. The notion of generalization of metric spaces, called a G-metric space was investigated by Mustafa and Sims [9] in 2006. After that many authors studied many results on fixed and common fixed point in G-metric spaces; for example see [10]–[15]. In 2012 Jleli and Samet et al. [16] derived some known fixed point theorems in G-metric spaces by using the concept of quasi metric spaces. The clever paper of Jleli and Samet et al [16] reduces some fixed point theorems from G-metric spaces to standard metric spaces. In 2010 Saadatiet.al. [17] introduced the concept of Ω-distance as a generalization of Ω-distance [18] and studied some fixed point results. Recently, many authors [19]–[23], [25] obtained many fixed point results by using the ...
Food processing can be considered as a non-deterministic phenomenon due to the intrinsic variabil... more Food processing can be considered as a non-deterministic phenomenon due to the intrinsic variability and heterogeneity of food and the stochastic nature of food processing operations. Theoretical solutions based on functions of random variables are derived to characterise the output of a probabilistic, first-order, thermal process. The solutions are applied to the process of biscuit cooling. The theoretical predictions are compared with numerical Monte Carlo output and experimental results. The utility of the approach in improving the design of these processes is outlined. Keywords: probabilistic modelling, monte carlo simulation, thermal process, biscuit cooling, process design. 2 CONTENTS INTRODUCTION 3 THEORY 3 Probabilistic Thermal Process Modelling 3 Functions of Random Variables 4 Theoretical Solutions 5 EXAMPLE -- BISCUIT COOLING 8 Deterministic Cooling Model ............................................................................................. 8 Experimental Work ....
A class of random dynamical systems is considered. We discuss a class of problems arising from an... more A class of random dynamical systems is considered. We discuss a class of problems arising from an example in food production likely to have wider applicability in the content of industrial quality control. Permanent address: Institute for Information Transmission Problems, Russian Academy of Science, 19 Bolshoi Karetny lane, Moscow 101447, Russia. Contents 1 Introduction 3 2 General results 6 2.1 Mathematical setup . . . . . . . . . . . . . . . . . . . . . . . . 6 2.2 Main result . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3 Proof of the theorem . . . . . . . . . . . . . . . . . . . . . . . 10 3 Some particular cases 13 3.1 Scalar systems . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 3.2 Coordinate-wise monotone systems . . . . . . . . . . . . . . . 14 3.3 Control theory type systems . . . . . . . . . . . . . . . . . . . 15 A Appendix 17 1 Introduction This is basically a paper in mathematical control theory. In general terms, we are interested in...
International journal of pure and applied mathematics, 2011
Functions on infinite graphs are studied, keeping infinite electrical grids and Markov chains as ... more Functions on infinite graphs are studied, keeping infinite electrical grids and Markov chains as models. The techniques used for this study are based on those from the classical and axiomatic potential theory and the ana- lytic function theory on the complex plane and Riemann surfaces. This paper investigates Dirichlet problem in the context of an infinite network.
On a finite set of vertices E in a Cartier tree, using the Green’s formula, the Dirichlet semi-no... more On a finite set of vertices E in a Cartier tree, using the Green’s formula, the Dirichlet semi-norm is defined and the Dirichlet solution on E is obtained as the projection on the closed subspace of harmonic functions on E.
Nonlinear functional analysis and applications, 2018
In this paper we prove a Suzuki type unique common coupled fixed point theorem for two pairs of w... more In this paper we prove a Suzuki type unique common coupled fixed point theorem for two pairs of w -compatible mappings along with ( ψ − φ ) - and Rational contraction conditions in S_ b -metric spaces. We also furnish an example as well as application to integral equation.
In this paper we introduce the concept of the rectangular metric like spaces, along with its topo... more In this paper we introduce the concept of the rectangular metric like spaces, along with its topology and we prove some fixed point theorems under different contraction principles. We introduce the concept of modified metric-like space as well and prove some topological and convergence properties under the symmetric convergence. Some examples are given to illustrate the proven results and enrich the new introduced metric type spaces.
In this article, we utilize the notion of Ω-distance in the sense of Saadati et al [ R. Saadati, ... more In this article, we utilize the notion of Ω-distance in the sense of Saadati et al [ R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, Mathematical and Computer Modeling, 52, 797-801, 2010 ] to introduce and prove some fixed point results of self-mapping under contraction conditions of the form Ω-Suzuki-contractions.
This manuscript aims to prove exciting results that unify and generalize several metric space res... more This manuscript aims to prove exciting results that unify and generalize several metric space results with a graph. As an application, we apply our results to consider sufficient conditions to guarantee the differential equations' existence solution with infinite delay.
On an infinite network X with transition functions that need not be symmetric, biharmonic and bis... more On an infinite network X with transition functions that need not be symmetric, biharmonic and bisuperharmonic functions ar defined and their properties derived. A representation for positive bisuperharmonic functions that are superharmonic on X is obtained by using the Choquet integral representation theorem. AMS Subject Classification: 31C20, 31D05
Based on the existence of discrete Lp− subharmonic functions, a classification of infinite networ... more Based on the existence of discrete Lp− subharmonic functions, a classification of infinite networks is carried out.
The equilibrium problem and the condenser problem have been solved in finite networks. This note ... more The equilibrium problem and the condenser problem have been solved in finite networks. This note considers such problems in the context of infinite networks and trees. The basic tool employed is the solution of a Dirichlet problem for an arbitrary subset of an infinite network.
Very recently, Mehadi et al [M. Asadi, E. Karap{\i}nar, and P. Salimi, New extension of partial m... more Very recently, Mehadi et al [M. Asadi, E. Karap{\i}nar, and P. Salimi, New extension of partial metric spaces with some fixed-point results on $M-$metric spaces] extended the partial metric spaces to the notion of $M-$metric spaces. In this article, we study some relations between partial metric spaces and $M-$metric spaces. Also, we generalize Caristi Kirki's Theorem from partial metric spaces to $M-$metric spaces, where we corrected some gaps in the proof of the main Theorem in E. Karap\i nar [E. Karap\i nar, Generalizations of Caristi Kirk's Theorem on Partial Metric Spaces, Fixed Point Theory Appl. 2011: 4, (2011)]. We close our contribution by introducing some examples to validate and verify our extension results.
Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in gene... more Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, {\it Mathematical and Computer Modeling,} \textbf{52}, 797-801, 2010] introduced the notion of $\Omega$-distance mappings and studied some existing fixed point results. In this paper, we employ the notion of $\Omega$-distance and some functions defined on $[0,+\infty)$ to introduce some new nonlinear contractions of Suzuki types. We utilize our new notions to formulate and proved many fixed and common fixed point results. Our results improve and extend many results in literature.
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