Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces, By Hossein Piri

Research

Title	Strong convergence theorems for fixed points of asymptotically nonexpansive semigroups in Banach spaces
Type	Article
Keywords	Banach Space, Variational Inequality, Nonexpansive Mapping, Common Fixed Point, Strong Convergence Theorem
Researchers	Hossein Piri، Poom Kumam

Abstract

The purpose of this paper is to study the viscosity iterative schemes for approximating a fixed point of an asymptotically nonexpansive semigroup on a compact convex subset of a smooth Banach space with respect to a sequence {μi,n} m,∞ i=1,n=1 of strongly asymptotic invariant means defined on an appropriate space of bounded real valued functions of the semigroup. Our results extend and improve the result announced by Lau et al. (Nonlinear Anal. 67(4):1211-1225, 2007) and many others.