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[PDF] Top 20 On asymptotically strict pseudocontractions and equilibrium problems

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On asymptotically strict pseudocontractions and equilibrium problems

On asymptotically strict pseudocontractions and equilibrium problems

... Equilibrium problems have emerged as an effective and powerful tool for studying a wide class of problems which arise in economics, finance, image reconstruction, ecology, trans- portation, and ... See full document

16

A hybrid projection method for solving a common solution of a system of equilibrium problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense in Hilbert spaces

A hybrid projection method for solving a common solution of a system of equilibrium problems and fixed point problems for asymptotically strict pseudocontractions in the intermediate sense in Hilbert spaces

... of equilibrium problems and a solution of a fixed point set of asymptotically strict pseudocontractions in the intermediate sense and they proved these schemes converge ... See full document

19

Strong Convergence Theorems for an Infinite Family of Equilibrium Problems and Fixed Point Problems for an Infinite Family of Asymptotically Strict Pseudocontractions

Strong Convergence Theorems for an Infinite Family of Equilibrium Problems and Fixed Point Problems for an Infinite Family of Asymptotically Strict Pseudocontractions

... the equilibrium problem and the set of fixed points of a nonexpansive mapping in a Hilbert space H and proved a strong convergence theorem which is connected with Combettes and Hirstoaga’s result 6 and Wittmann’s ... See full document

15

Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense

Strong convergence theorems for system of equilibrium problems and asymptotically strict pseudocontractions in the intermediate sense

... Recall Mann ’ s iteration algorithm was introduced by Mann [12]. Since then, the con- struction of fixed points for nonexpansive mappings and asymptotically strict pseudo- contractions via Mann ’ iteration ... See full document

13

Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems

Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems

... Throughout this paper, we always assume that H is a real Hilbert space with an inner product · , · and norm · . Let C be a nonempty, closed, and convex subset of H and F a bifunction of C × C into R , where R stands for ... See full document

13

An algorithm for treating asymptotically strict pseudocontractions and monotone operators

An algorithm for treating asymptotically strict pseudocontractions and monotone operators

... complex problems. The common element problems include mini-max problems, complementarity problems, equilibrium problems, common fixed point problems and variational ... See full document

14

Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions

Convergence Analysis for a System of Generalized Equilibrium Problems and a Countable Family of Strict Pseudocontractions

... Due to the weak convergence, recently, S. Takahashi and W. Takahashi 24 introduced another modification iterative method of 1.8 for finding a common element of the fixed points set of a nonexpansive mapping and the ... See full document

20

Some results on fixed points of asymptotically strict quasi-ϕ-pseudocontractions in the intermediate sense

Some results on fixed points of asymptotically strict quasi-ϕ-pseudocontractions in the intermediate sense

... of problems arising in economics, engineering, and physics can be studied by fixed point ...known problems can be studied by using algorithms which are iterative in their ... See full document

18

An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces

An Application of Hybrid Steepest Descent Methods for Equilibrium Problems and Strict Pseudocontractions in Hilbert Spaces

... We use the hybrid steepest descent methods for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a strict pseudocontraction mapping in the setting of ... See full document

15

Weak convergence theorems of a hybrid algorithm in Hilbert spaces

Weak convergence theorems of a hybrid algorithm in Hilbert spaces

... generalized equilibrium problem, a variational inequality, and fixed point problems of an asymptotically strict pseudocontraction based on a hybrid ... See full document

13

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

Weak and Strong Convergence Theorems for Equilibrium Problems and Countable Strict Pseudocontractions Mappings in Hilbert Space

... Numerous problems in physics, optimization, and economics can be reduced to find a solution of ...the equilibrium problem see ...the equilibrium problem and the set of fixed points of a nonexpansive ... See full document

11

Convergence Theorems Concerning Hybrid Methods for Strict Pseudocontractions and Systems of Equilibrium Problems

Convergence Theorems Concerning Hybrid Methods for Strict Pseudocontractions and Systems of Equilibrium Problems

... of strict pseudo-contractive mappings by the parallel and cyclic ...for equilibrium problems and strict ...of strict pseudocontractions and the solution set of the system of ... See full document

14

Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems

Strong Convergence Theorems by Hybrid Methods for Strict Pseudocontractions and Equilibrium Problems

... space H . Consider the problem of finding a common element of the set of fixed point of these mappings and the set of solutions of an equilibrium problem with the parallel and cyclic algorithms. In this paper, we ... See full document

13

The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions

The extragradient-Armijo method for pseudomonotone equilibrium problems and strict pseudocontractions

... p strict pseudocontractions and the set of solutions of equilibrium problems for pseudomonotone bifunctions without Lipschitz-type continuous ... See full document

16

Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings

Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings

... The purpose of this article is to propose and investigate an algorithm for solving the multiple-set split feasibility problems for total asymptotically strict pseu-docontractions mappings in ... See full document

11

Common fixed points of a family of strictly pseudocontractive mappings

Common fixed points of a family of strictly pseudocontractive mappings

... world problems, including inverse problems; for instance, it is not hard to show that the split feasibility problem and the convex feasibility problem in signal processing and image reconstruction can both ... See full document

10

A modified Mann iteration for zero points of accretive operators

A modified Mann iteration for zero points of accretive operators

... whose solutions correspond to the equilibrium points of (.). An early fundamental result in the theory of accretive operators, due to Browder [], states that the initial value prob- lem (.) is solvable if A ... See full document

11

The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces

The viscosity iterative algorithms for the implicit midpoint rule of nonexpansive mappings in uniformly smooth Banach spaces

... Recently, 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 ... See full document

12

Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings

Hybrid projection methods for a bifunction and relatively asymptotically nonexpansive mappings

... The purpose of this paper is to investigate a bifunction equilibrium problem and a fixed point problem of relatively asymptotically nonexpansive mappings based on a generalized projection method. A weak ... See full document

10

Proximal point algorithms for zero points of nonlinear operators

Proximal point algorithms for zero points of nonlinear operators

... important problems have reformulations which require finding zero points, for instance, evolution equations, complementarity problems, mini-max problems, variational inequalities and optimization ... See full document

11

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