Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications

Convergence Theorems on Generalized Equilibrium Problems and Fixed Point Problems with Applications

On Generalized Mixed Equilibrium Problems and Fixed Point Problems with Applications

In this paper, we introduce and investigate two new generalized mixed equilibrium problems and explore the relationship between them and the properties of their solutions in Banach spaces. Based on the generalized f -projection, we construct hybrid algorithms to find common fixed points of a countable family of quasi-φnonexpansive mappings in Banach spaces, a common element of the set of soluti...

Strong Convergence Theorems for General Equilibrium Problems and Fixed Point Problems in Banach Spaces1

In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of the general equilibrium problem and the set of fixed point of nonexpansive mappings in Banach space. Under suitable conditions, some strong convergence theorem for approximating a common element of the above two sets are obtained. Results obtained in this paper improve the previously known re...

Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems of Strict Pseudo-contraction Mappings

The purpose of this paper is to introduce an iterative scheme for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a k−strict pseudo-contraction non-self mapping in Hilbert space. By the viscosity approximation algorithms, under suitable conditions , some strong convergence theorems for approximating to this common elements are proved. Th...

Strong Convergence Theorems for Equilibrium Problems and Fixed Point Problems in Hilbert Spaces