Solving systems of monotone variational inequalities on fixed point sets of strictly pseudocontractive mappings, By Hossein Piri

Research

Title	Solving systems of monotone variational inequalities on fixed point sets of strictly pseudocontractive mappings
Type	Article
Keywords	Fixed point; Variational inequality; Pseudo-contraction mappings; Hilbert space; Nonexpansive mapping
Researchers	Hossein Piri

Abstract

The aim of this paper is to study strong convergence theorems for fixed point problems of an infinite family of strictly pseudo-contractive mappings and solution problems for a system of monotone variational inequalities. Our results mainly improve and extend the results announced by Yuan [Q. Yuan, On nonexpansive mappings and an inverse-strongly monotone mapping in Hilbert spaces, J. Nonlinear Funct. Anal. 2015 (2015), Article ID 1] and other corresponding results.