Strong Convergence Theorems for Maximal Monotone Operators, Fixed-Point Problems, and Equilibrium Problems

A strong convergence theorem for solutions of zero point problems and fixed point problems

Zero point problems of the sum of two monotone mappings and fixed point problems of a strictly pseudocontractive mapping are investigated‎. ‎A strong convergence theorem for the common solutions of the problems is established in the framework of Hilbert spaces‎.

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

Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems

We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and uniformly convex Banach space, strong convergence theorems by using a shrinking projection method. We finally apply the obtained results to a ...