Iterative algorithms for generalized mixed equilibrium problems

Iterative Algorithms for the Generalized System of Nonlinear Quasi-Mixed Equilibrium Problems and Fixed Point Problems

The purpose of this paper is to introduce a new generalized system of nonlinear quasi-mixed equilibrium problems and find the common solutions of this problem and a fixed point problem. The results obtained in this paper may be viewed as an extension, refinement and improvement of the previously known results in [2-4] and others. Mathematics Subject Classification: 47H09, 47J25

A general composite iterative method for generalized mixed equilibrium problems, variational inequality problems and optimization problems

In this article, we introduce a new general composite iterative scheme for finding a common element of the set of solutions of a generalized mixed equilibrium problem, the set of fixed points of an infinite family of nonexpansive mappings and the set of solutions of a variational inequality problem for an inverse-strongly monotone mapping in Hilbert spaces. It is shown that the sequence generat...

Iterative algorithms for families of variational inequalities fixed points and equilibrium problems

Strong Convergence of an Iterative Method for Generalized Mixed Equilibrium Problems and Fixed Point Problems

Equilibrium problems theory provides us with a natural, novel and unified framework for studying a wide class of problems arising in economics, finance, transportation, network and structural analysis, elasticity and optimization. The ideas and techniques of this theory are being used in a variety of diverse areas and proved to be productive and innovative. Let H be a Hilbert space with inner p...

Approximating fixed points for nonexpansive mappings and generalized mixed equilibrium problems in Banach spaces

We introduce a new iterative scheme for nding a common elementof the solutions set of a generalized mixed equilibrium problem and the xedpoints set of an innitely countable family of nonexpansive mappings in a Banachspace setting. Strong convergence theorems of the proposed iterative scheme arealso established by the generalized projection method. Our results generalize thecorresponding results...