APPROXIMATING FIXED POINTS FOR LIPSCHITZIAN SEMIGROUP AND INFINITE FAMILY OF NONEXPANSIVE MAPPINGS WITH THE MEIR-KEELER TYPE CONTRACTION IN BANACH SPACES, By Hossein Piri

Research

Title	APPROXIMATING FIXED POINTS FOR LIPSCHITZIAN SEMIGROUP AND INFINITE FAMILY OF NONEXPANSIVE MAPPINGS WITH THE MEIR-KEELER TYPE CONTRACTION IN BANACH SPACES
Type	Article
Keywords	Smooth Bacach space, Uniformly convex Bacach space, Asymptotically nonexpansive mapping, Lipschitzian semigroup, Invariant mean.
Researchers	Hossein Piri، Poom Kumam، Kanokwan Sitthithakerngkiet

Abstract

In this paper we prove strong convergence theorems for approximating the fixed point of Lipschitzian semigroup and infinite family of nonexpansive mappings with respect to finite family of sequence {µi,n} m, ∞ i=1,n=1 of left strong regular invariant means and Meir-Keeler type contraction in uniformly convex and smooth Banach spaces. Our result extend and improve many recent results.