Papers by Juan MARTINEZ-MORENO
Communications in Mathematics and Applications, Jun 30, 2019
In this paper, we prove the existence of a random coupled coincidence and coupled random fixed po... more In this paper, we prove the existence of a random coupled coincidence and coupled random fixed point theorems in complete separable metric space without the mixed g-monotone property. The results are used to prove existence of random solutions for random integral equation.
In this paper, we prove some random fixed point theorems for generalized random α − ψ−contractive... more In this paper, we prove some random fixed point theorems for generalized random α − ψ−contractive mappings in a Polish space and, as some applications, we show the existence of random solutions of second order random differential equation.
Mathematics, Nov 18, 2018
In this paper, we introduce a new concept of random α-proximal admissible and random α-Z-contract... more In this paper, we introduce a new concept of random α-proximal admissible and random α-Z-contraction. Then we establish random best proximity point theorems for such mapping in complete separable metric spaces.
Journal of Inequalities and Applications
In this paper, we establish the stability and strong convergence theorems, for the three-step ite... more In this paper, we establish the stability and strong convergence theorems, for the three-step iteration with perturbations for a T-Ciric quasicontraction, in the environment of the CAT(0) space. Finally, an application to the integral-type contraction and an example are shown.
Axioms
A Kuratowski topology is a topology specified in terms of closed sets rather than open sets. Rece... more A Kuratowski topology is a topology specified in terms of closed sets rather than open sets. Recently, the binary metric was introduced as a symmetric, distributive-lattice-ordered magma-valued function of two variables satisfying a “triangle inequality” and subsequently proved that every Kuratowski topology can be induced by such a binary metric. In this paper, we define the strong convergence of a sequence in a binary metric space and prove that strong convergence implies convergence. We state the conditions under which strong convergence is equivalent to convergence. We define a strongly Cauchy sequence and a strong complete binary metric space. Finally, we give the strong completion of all binary metric spaces with a countable indexing set.
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
In recent years, Fixed Point Theory has achieved great importance within Nonlinear Analysis espec... more In recent years, Fixed Point Theory has achieved great importance within Nonlinear Analysis especially due to its interesting applications in real-world contexts. Its methodology is based on the comparison between the distances between two points and their respective images through a nonlinear operator. This comparison is made through contractive conditions involving auxiliary functions whose role is increasingly decisive, and which are acquiring a prominent role in Functional Analysis. Very recently, Proinov introduced new fixed point results that have very much attracted the researchers’ attention especially due to the extraordinarily weak conditions on the auxiliary functions considered. However, one of them, the nondecreasing character of the main function, has been used for many years without the chance of being replaced by another alternative property. In this way, several researchers have recently raised this question as an open problem in this field of study. In order to fac...
Carpathian Journal of Mathematics
Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A... more Using the concept of the CATp(0) spaces proposed by Khamsi et al. [Khamsi, M. A. and Shukri, S. A., Generalized CAT(0) spaces. Bull. Belg. Math. Soc. Simon Stevin, 24 (2017), No. 3, 417–426], we establish ∆-convergence and strong convergence of a perturbed variant of Agarwal et al. S-iteration process for nonexpansive mapping. Finally, from them we deduce results valid for α-nonexpansive mappings.
Advances in Computational Intelligence, 2021
This paper deals with some issues of fixed point concerning Caristi type mappings introduced by A... more This paper deals with some issues of fixed point concerning Caristi type mappings introduced by Abbasi and Golshan (Kybernetika 52:929-942, 2016) in fuzzy metric spaces. We enlarge this class of mappings and prove completeness characterization of corresponding fuzzy metric space. The paper includes a comprehensive set of examples showing the generality of our results and an open question.
Journal of Function Spaces, 2018
Results in Fixed Point Theory and Applications, 2019
In this paper, we prove the existence of common random fixed point of Suzuki's type random multif... more In this paper, we prove the existence of common random fixed point of Suzuki's type random multifunctions on a complete separable metric space and application to stochastic dynamic programming.
Symmetry, 2019
The main purpose in this paper is to define the modification form of random α -admissible and ran... more The main purpose in this paper is to define the modification form of random α -admissible and random α - ψ -contractive maps. We establish new random fixed point theorems in complete separable metric spaces. The interpretation of our results provide the main theorems of Tchier and Vetro (2017) as directed corollaries. In addition, some applications to second order random differential equations are presenred here to interpret the usability of the obtained results.
Journal of Nonlinear Sciences and Applications, 2016
7 pages] proved some tripled fixed point theorems in fuzzy normed spaces. In this paper, we give ... more 7 pages] proved some tripled fixed point theorems in fuzzy normed spaces. In this paper, we give a new version of the result of Kumam, et al. by removing some restrictions. In our result, the t-norms are not required to be the minimum ones.
In this paper, we prove some random fixed point theorems for generalized random $\alpha-\psi-$con... more In this paper, we prove some random fixed point theorems for generalized random $\alpha-\psi-$contractive mappings in a Polish space and, as some applications, we show the existence of random solutions of second order random differential equation.
Fixed Point Theory and Applications, 2016
In this paper, we introduce the two new concepts of an α-type almost-F-contraction and an α-type ... more In this paper, we introduce the two new concepts of an α-type almost-F-contraction and an α-type F Suzuki contraction and prove some fixed point theorems for such mappings in a complete metric space. Some examples and an application to a nonlinear fractional differential equation are given to illustrate the usability of the new theory.
Journal of Inequalities and Applications, 2014
In this paper, we prove some tripled fixed point theorems in fuzzy normed spaces. Our results imp... more In this paper, we prove some tripled fixed point theorems in fuzzy normed spaces. Our results improve and restate the proof lines of the main results given in the paper (Abbas et al. in Fixed Point Theory Appl. 2012:187, 2012).
Fixed Point Theory and Applications, 2011
We introduce a new iterative method for finding a common element of the set of solutions for mixe... more We introduce a new iterative method for finding a common element of the set of solutions for mixed equilibrium problem, the set of solutions of the variational inequality for a "Equation missing"-inverse-strongly monotone mapping, and the set of fixed points of a family of finitely nonexpansive mappings in a real Hilbert space by using the viscosity and Cesàro mean approximation method. We prove that the sequence converges strongly to a common element of the above three sets under some mind conditions. Our results improve and extend the corresponding results of Kumam and Katchang (2009), Peng and Yao (2009), Shimizu and Takahashi (1997), and some authors.
Fixed Point Theory and Applications, 2015
In this paper, we extend the concepts of the $E.A$ E . A -property and the $CLR_{g}$ C L R g -pro... more In this paper, we extend the concepts of the $E.A$ E . A -property and the $CLR_{g}$ C L R g -property in fuzzy metric spaces to the setting of multi-dimensional fuzzy metric spaces and show the existence of multi-dimensional coincidence point and fixed point theorems for weakly compatible mappings with the $E.A$ E . A -property and the $CLR_{g}$ C L R g -property.
Advances in Intelligent Systems and Computing, 2013
While Multi-Criteria Decision Making (MCDM) models are focus on selecting the best alternative fr... more While Multi-Criteria Decision Making (MCDM) models are focus on selecting the best alternative from a finite number of feasible solutions according to a set of criteria, in Dynamic Multi-Criteria Decision Making (DMCDM) the selection process also takes into account the temporal performance of such alternatives during different time periods. In this contribution is proposed a new discriminative dynamic index to handling differences in temporal behavior of alternatives, which are not discriminated in preceding dynamic approaches. An example is provided to illustrate the feasibility and effectiveness of the proposed index.
Mathematics
In this paper, we define and study the Perov fuzzy metric space and the topology induced by this ... more In this paper, we define and study the Perov fuzzy metric space and the topology induced by this space. We prove Banach contraction theorems. Moreover, we devised new results for Kramosil and Michálek fuzzy metric spaces. In the process, some results about multidimensional common fixed points as coupled/tripled common fixed point results are derived from our main results.
We study some properties of Mastroianni operators [G. Mastrovianni, Rend. Accad. Sci. Fis. mat., ... more We study some properties of Mastroianni operators [G. Mastrovianni, Rend. Accad. Sci. Fis. mat., IV. Ser. Napoli 46, 161–176 (1979; Zbl 0452.41018)] and generalized Baskakov operators [R. Martini, Indag. Math. 31, 473–481 (1969; Zbl 0189.34902)].
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Papers by Juan MARTINEZ-MORENO