APPROXIMATING FIXED POINTS OF SEMIGROUPS OF NONEXPANSIVE MAPPINGS AND SOLVING SYSTEMS OF VARIATIONAL INEQUALITIES, By Hossein Piri

Research

Title	APPROXIMATING FIXED POINTS OF SEMIGROUPS OF NONEXPANSIVE MAPPINGS AND SOLVING SYSTEMS OF VARIATIONAL INEQUALITIES
Type	Article
Keywords	projection, common fixed point, amenable semigroup, iterative process, strong convergence, system of variational inequality.
Researchers	Hossein Piri

Abstract

In this paper, we introduce a new general iterative process for approximating a common fixed point of a semigroup of nonexpansive mappings, with respect to strongly left regular sequence of means defined on an appropriate space of bounded real-valued functions of the semigroups and the set of solutions a system of variational inequality for finite family of inverse strongly monotone mappings in a real Hilbert space. Our result extends and improves the result announced by H. Piri and A.H. Badali [13] and some others.