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Weak and strong convergence theorems for a finite family of generalized asymptotically quasi-nonexpansive mappings

Authors
Journal
Computers & Mathematics with Applications
0898-1221
Publisher
Elsevier
Publication Date
Volume
60
Issue
7
Identifiers
DOI: 10.1016/j.camwa.2010.07.025
Keywords
  • Generalized Asymptotically Quasi-Nonexpansive Mapping
  • Iterative Method
  • Common Fixed Point
  • Banach Space
  • Strong Convergence
Disciplines
  • Mathematics

Abstract

Abstract In this paper, we introduce a new iterative scheme for finding a common fixed point of a finite family of generalized asymptotically quasi-nonexpansive mappings in a uniformly convex Banach space. We establish weak and strong convergence theorems. Our main results improve and extend the corresponding ones obtained in Schu (1991) [J. Schu, Iterative construction of fixed points of asymptotically nonexpansive mapping, J. Math. Anal. Appl. 159 (1991) 407–413] and many others.

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