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2012 Iterative Algorithm and Δ -Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces
J. F. Tang, S. S. Chang, H. W. Joseph Lee, C. K. Chan
Abstr. Appl. Anal. 2012: 1-11 (2012). DOI: 10.1155/2012/965751

Abstract

The main purpose of this paper is first to introduce the concept of total asymptotically nonexpansive mappings and to prove a Δ -convergence theorem for finding a common fixed point of the total asymptotically nonexpansive mappings and the asymptotically nonexpansive mappings. The demiclosed principle for this kind of mappings in CAT(0) space is also proved in the paper. Our results extend and improve many results in the literature.

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J. F. Tang. S. S. Chang. H. W. Joseph Lee. C. K. Chan. "Iterative Algorithm and Δ -Convergence Theorems for Total Asymptotically Nonexpansive Mappings in CAT(0) Spaces." Abstr. Appl. Anal. 2012 1 - 11, 2012. https://doi.org/10.1155/2012/965751

Information

Published: 2012
First available in Project Euclid: 28 March 2013

zbMATH: 1253.65089
MathSciNet: MR2965479
Digital Object Identifier: 10.1155/2012/965751

Rights: Copyright © 2012 Hindawi

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