Approximating fixed points for Lipschitzian semigroup and infinite family of nonexpansive mappings with the Meir-Keeler type contraction in Banach spaces
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Author list: Piri H., Kumam P., Sitthithakerngkiet K.
Publisher: Watam Press
Publication year: 2014
Journal: Dynamics of Continuous Discrete and Impulsive Systems (1201-3390)
Volume number: 21
Issue number: 2
Start page: 201
End page: 229
Number of pages: 29
ISSN: 1201-3390
Languages: English-Great Britain (EN-GB)
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}im,=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. Copyright © 2014 Watam Press.
Keywords
Asymptotically nonexpansive mapping, Lipschitzian semigroup, Smooth bacach space, Uniformly convex bacach space
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