DOAJ (DOAJ: Directory of Open Access Journals), Jun 1, 2007
A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover... more A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover by regular closed sets has a countable subfamily whose union is dense. In this paper we investigate properties of ARC-Lindeloff. In addition, several example will be provided to illustrate our results.
Under the framework of a real Hilbert space, we introduce a new iterative method for finding a co... more Under the framework of a real Hilbert space, we introduce a new iterative method for finding a common element of the set of solution of a general equilibrium problem and the set of fixed points of a nonexpansive semigroup. Moreover, a numerical example is presented. This example grantee the main result of the paper.
In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully ... more In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully based on the iteration methods. In this paper, we suggest a viscosity iterative algorithm for nonexpansive semigroup in the framework of Hilbert space. We prove that, the sequence generated by this algorithm under the certain conditions imposed on parameters strongly convergence to a common solution of general equilibrium problem system. Results presented in this paper extend and unify the previously known results announced by many other authors. Further, we give some numerical examples to justify our main results.
Çankaya University Journal of Humanities and Social Sciences, May 31, 2019
In this paper, we proposed a viscosity iterative algorithm to approximate a common solution of sp... more In this paper, we proposed a viscosity iterative algorithm to approximate a common solution of split generalized equilibrium problem and fixed point problem for a nonexpansive semigroups in real Hilbert spaces. Under certain conditions control on parameters, the iteration sequences generated by the proposed algorithms are proved to be strongly convergent to a solution of split generalized equilibrium problem. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Some numerical examples to guarantee the main result of this paper.
The main attempt of this article is extension the method so that it generally would be able to co... more The main attempt of this article is extension the method so that it generally would be able to consider the classical solution of the systems and moreover, produces the optimal trajectory and control directly at the same time. Therefore we consider a control system governed by a bone marrow cancer equation. Next, by extending the underlying space, the existence of the solution is considered and pair of the solution are identified simultaneously. In this manner a numerical example is also given.
Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics, Jan 27, 2020
In this paper, we introduce a new iterative midpoint rule for …nding a solution of …xed point pro... more In this paper, we introduce a new iterative midpoint rule for …nding a solution of …xed point problem for a nonexpansive semigroup in real Hilbert spaces. We establish a strong convergence theorem for the sequences generated by our proposed iterative scheme. Furthermore, we provide application to Fredholm integral equations. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.
Theory of Approximation and Applications, Dec 1, 2020
The viscosity iterative algorithms for finding a common element of the set of fixed points for no... more The viscosity iterative algorithms for finding a common element of the set of fixed points for nonlinear operators and the set of solutions of variational inequality problems have been investigated by many authors. The viscosity technique allow us to apply this method to convex optimization, linear programming and monoton inclusions. In this paper, based on viscosity technique with perturbation, we introduce a new nonlinear viscosity algorithm for finding an element of the set of fixed points of nonexpansive multi-valued mappings in a Hilbert spaces. Furthermore, strong convergence theorems of this algorithm were established under suitable assumptions imposed on parameters. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Moreover, some numerical examples that show the efficiency and implementation of our algorithm are presented.
The viscosity iterative algorithms for finding a common element of the set of fixed points for no... more The viscosity iterative algorithms for finding a common element of the set of fixed points for nonlinear operators and the set of solutions of variational inequality problems have been investigated by many authors. The viscosity technique allow us to apply this method to convex optimization, linear programming and monoton inclusions. In this paper, based on viscosity technique with perturbation, we introduce a new nonlinear viscosity algorithm for finding an element of~the set of~fixed points of nonexpansive multi-valued mappings in a Hilbert spaces. Furthermore, strong convergence theorems of~this algorithm were established under suitable assumptions imposed on~parameters. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Moreover, some numerical examples that show the efficiency and implementation of our algorithm are presented.
In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully ... more In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully based on the iteration methods. In this paper, we suggest a viscosity iterative algorithm for nonexpansive semigroup in the framework of Hilbert space. We prove that, the sequence generated by this algorithm under the certain conditions imposed on parameters strongly convergence to a common solution of general equilibrium problem system. Results presented in this paper extend and unify the previously known results announced by many other authors. Further, we give some numerical examples to justify our main results.
A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover... more A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover by regular closed sets has a countable subfamily whose union is dense. In this paper we investigate properties of ARC-Lindeloff. In addition, several example will be provided to illustrate our results.
2010 International Conference on Financial Theory and Engineering, 2010
The method described in this paper offers an opportunity for combining both fuzzy and random data... more The method described in this paper offers an opportunity for combining both fuzzy and random data in an optimization context by considering them as degenerate fuzzy random variables. The approach described in this paper focuses on discrete fuzzy random variables and on combining fuzzy number with discrete random variables. In this manner, a numerical examples is also given.
Advances in Computer Science : an International Journal, 2015
Classification systems have been widely utilized in medical domain to explore patient’s data and ... more Classification systems have been widely utilized in medical domain to explore patient’s data and extract a predictive model. This model helps physicians to improve their prognosis, diagnosis or treatment planning procedures. Diabetes disease diagnosis via proper interpretation of the diabetes data is an important classification problem. Most methods of classification either ignore feature analysis or do it in a separate phase, offline prior to the main classification task. In this paper a novel fuzzy classifier for diagnosis of diabetes disease along with feature selection is proposed. The aim of this paper is to use a modified particle swarm optimization algorithm to extract a set of fuzzy rules for diagnosis of diabetes disease. The performances of the proposed method are evaluated through classification rate, sensitivity and specificity values using 10-fold cross-validation method. The obtained classification accuracy is 85.19% which reveals that proposed method, outperforms seve...
DOAJ (DOAJ: Directory of Open Access Journals), Jun 1, 2007
A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover... more A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover by regular closed sets has a countable subfamily whose union is dense. In this paper we investigate properties of ARC-Lindeloff. In addition, several example will be provided to illustrate our results.
Under the framework of a real Hilbert space, we introduce a new iterative method for finding a co... more Under the framework of a real Hilbert space, we introduce a new iterative method for finding a common element of the set of solution of a general equilibrium problem and the set of fixed points of a nonexpansive semigroup. Moreover, a numerical example is presented. This example grantee the main result of the paper.
In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully ... more In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully based on the iteration methods. In this paper, we suggest a viscosity iterative algorithm for nonexpansive semigroup in the framework of Hilbert space. We prove that, the sequence generated by this algorithm under the certain conditions imposed on parameters strongly convergence to a common solution of general equilibrium problem system. Results presented in this paper extend and unify the previously known results announced by many other authors. Further, we give some numerical examples to justify our main results.
Çankaya University Journal of Humanities and Social Sciences, May 31, 2019
In this paper, we proposed a viscosity iterative algorithm to approximate a common solution of sp... more In this paper, we proposed a viscosity iterative algorithm to approximate a common solution of split generalized equilibrium problem and fixed point problem for a nonexpansive semigroups in real Hilbert spaces. Under certain conditions control on parameters, the iteration sequences generated by the proposed algorithms are proved to be strongly convergent to a solution of split generalized equilibrium problem. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Some numerical examples to guarantee the main result of this paper.
The main attempt of this article is extension the method so that it generally would be able to co... more The main attempt of this article is extension the method so that it generally would be able to consider the classical solution of the systems and moreover, produces the optimal trajectory and control directly at the same time. Therefore we consider a control system governed by a bone marrow cancer equation. Next, by extending the underlying space, the existence of the solution is considered and pair of the solution are identified simultaneously. In this manner a numerical example is also given.
Communications Faculty of Sciences University of Ankara. Series A1: mathematics and statistics, Jan 27, 2020
In this paper, we introduce a new iterative midpoint rule for …nding a solution of …xed point pro... more In this paper, we introduce a new iterative midpoint rule for …nding a solution of …xed point problem for a nonexpansive semigroup in real Hilbert spaces. We establish a strong convergence theorem for the sequences generated by our proposed iterative scheme. Furthermore, we provide application to Fredholm integral equations. A numerical example is presented to illustrate the convergence result. Our results improve and extend the corresponding results in the literature.
Theory of Approximation and Applications, Dec 1, 2020
The viscosity iterative algorithms for finding a common element of the set of fixed points for no... more The viscosity iterative algorithms for finding a common element of the set of fixed points for nonlinear operators and the set of solutions of variational inequality problems have been investigated by many authors. The viscosity technique allow us to apply this method to convex optimization, linear programming and monoton inclusions. In this paper, based on viscosity technique with perturbation, we introduce a new nonlinear viscosity algorithm for finding an element of the set of fixed points of nonexpansive multi-valued mappings in a Hilbert spaces. Furthermore, strong convergence theorems of this algorithm were established under suitable assumptions imposed on parameters. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Moreover, some numerical examples that show the efficiency and implementation of our algorithm are presented.
The viscosity iterative algorithms for finding a common element of the set of fixed points for no... more The viscosity iterative algorithms for finding a common element of the set of fixed points for nonlinear operators and the set of solutions of variational inequality problems have been investigated by many authors. The viscosity technique allow us to apply this method to convex optimization, linear programming and monoton inclusions. In this paper, based on viscosity technique with perturbation, we introduce a new nonlinear viscosity algorithm for finding an element of~the set of~fixed points of nonexpansive multi-valued mappings in a Hilbert spaces. Furthermore, strong convergence theorems of~this algorithm were established under suitable assumptions imposed on~parameters. Our results can be viewed as a generalization and improvement of various existing results in the current literature. Moreover, some numerical examples that show the efficiency and implementation of our algorithm are presented.
In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully ... more In the recent decade, a considerable number of Equilibrium problems havebeen solved successfully based on the iteration methods. In this paper, we suggest a viscosity iterative algorithm for nonexpansive semigroup in the framework of Hilbert space. We prove that, the sequence generated by this algorithm under the certain conditions imposed on parameters strongly convergence to a common solution of general equilibrium problem system. Results presented in this paper extend and unify the previously known results announced by many other authors. Further, we give some numerical examples to justify our main results.
A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover... more A topological space is said to be almost regular closed Lindeloff (=ARC-Lindeloff) if every cover by regular closed sets has a countable subfamily whose union is dense. In this paper we investigate properties of ARC-Lindeloff. In addition, several example will be provided to illustrate our results.
2010 International Conference on Financial Theory and Engineering, 2010
The method described in this paper offers an opportunity for combining both fuzzy and random data... more The method described in this paper offers an opportunity for combining both fuzzy and random data in an optimization context by considering them as degenerate fuzzy random variables. The approach described in this paper focuses on discrete fuzzy random variables and on combining fuzzy number with discrete random variables. In this manner, a numerical examples is also given.
Advances in Computer Science : an International Journal, 2015
Classification systems have been widely utilized in medical domain to explore patient’s data and ... more Classification systems have been widely utilized in medical domain to explore patient’s data and extract a predictive model. This model helps physicians to improve their prognosis, diagnosis or treatment planning procedures. Diabetes disease diagnosis via proper interpretation of the diabetes data is an important classification problem. Most methods of classification either ignore feature analysis or do it in a separate phase, offline prior to the main classification task. In this paper a novel fuzzy classifier for diagnosis of diabetes disease along with feature selection is proposed. The aim of this paper is to use a modified particle swarm optimization algorithm to extract a set of fuzzy rules for diagnosis of diabetes disease. The performances of the proposed method are evaluated through classification rate, sensitivity and specificity values using 10-fold cross-validation method. The obtained classification accuracy is 85.19% which reveals that proposed method, outperforms seve...
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