Inertial algorithm for solving equilibrium, variational inclusion and fixed point problems for an infinite family of strict pseudocontractive mappings

Convergence Theorems for Generalized Mixed Equilibrium and Variational Inclusion Problems of Strict-pseudocontractive Mappings∗

In this paper, we introduce and analyze a new iterative algorithm for finding a common element of the set of fixed points of strictly-pseudocontractive, the set of common solutions of generalized mixed equilibrium problems and the set of common solutions of the variational inclusion with inverse-strongly accretive mappings in Banach spaces. Using our new iterative scheme, we prove strong conver...

A New Iterative Method for Solving Equilibrium Problems and Fixed Point Problems for Infinite Family of Nonexpansive Mappings

Iterative Methods for Variational Inequalities, Equilibrium Problems, and Asymptotically Strict Pseudocontractive Mappings

In this paper, we introduce iterative algorithms for finding a common element of the set of fixed points for an asymptotically strict pseudocontractive mappings in the intermediate sense, the set of solutions of the variational inequalities for a family of α-inverse-strongly monotone mappings and the set of solutions of a system of equilibrium problems in a Hilbert space. We establish some weak...

Equilibrium problems and fixed point problems for nonspreading-type mappings in hilbert space

In this paper by using the idea of mean convergence, weintroduce an iterative scheme for finding a common element of theset of solutions of an equilibrium problem and the fixed points setof a nonspreading-type mappings in Hilbert space. A strongconvergence theorem of the proposed iterative scheme is establishedunder some control conditions. The main result of this paper extendthe results obtain...

Approximation Methods for Solving Equilibrium Problems and Variational Inequality Problems of an Infinite Family of Nonexpansive Mappings

In this paper, we introduce an iterative scheme by a modified hybrid extragradient method for finding a common element of the set of fixed points of a countable family of nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of the variational inequality for α-inverse-strongly monotone mappings in a real Hilbert space. We show that the iterative sequence...