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2007 WEAK AND STRONG CONVERGENCE FOR COMMON FIXED POINTS OF A PAIR OF NONEXPANSIVE AND ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
Shin Min Kang
Taiwanese J. Math. 11(1): 27-42 (2007). DOI: 10.11650/twjm/1500404631

Abstract

In this paper, we establish some weak and strong convergence theorems of modified Ishikawa iteration methods with errors with respect to a pair of nonexpansive and asymptotically nonexpansive mappings in uniformly convex Banach spaces. The results presented in this paper generalize, improve and unify a few results due to Chang [2], Osilike and Aniagbosor [10], Rhoades [11] and Schu [13, 14] and others.

Citation

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Shin Min Kang. "WEAK AND STRONG CONVERGENCE FOR COMMON FIXED POINTS OF A PAIR OF NONEXPANSIVE AND ASYMPTOTICALLY NONEXPANSIVE MAPPINGS." Taiwanese J. Math. 11 (1) 27 - 42, 2007. https://doi.org/10.11650/twjm/1500404631

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1151.47060
MathSciNet: MR2304002
Digital Object Identifier: 10.11650/twjm/1500404631

Subjects:
Primary: 47H05 , 47H10 , 47H15

Keywords: asymptotically nonexpansive mapping , common fixed points , modified Ishikawa iteration method with errors with respect to a pair of mappings , Nonexpansive mapping

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 1 • 2007
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