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Hossein Piri

Hossein Piri

Academic rank: Professor
ORCID:
Education: PhD.
ScopusId:
HIndex: 0/00
Faculty: Faculty of Basic Sciences
Address:
Phone: 04137745000-1642

Research

Title
APPROXIMATING FIXED POINTS FOR LIPSCHITZIAN SEMIGROUP AND INFINITE FAMILY OF NONEXPANSIVE MAPPINGS WITH THE MEIR-KEELER TYPE CONTRACTION IN BANACH SPACES
Type
JournalPaper
Keywords
Smooth Bacach space, Uniformly convex Bacach space, Asymptotically nonexpansive mapping, Lipschitzian semigroup, Invariant mean.
Year
2014
Journal JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY
DOI
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.