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Strong Convergence to Common Fixed Points of a Finite Family of Nonexpansive Mappings.

Authors :
Yeong-Cheng Liou
Yonghong Yao
Kenji Kimura
Source :
Journal of Inequalities & Applications; 2007, Vol. 2007 Issue 1, p1-10, 10p
Publication Year :
2007

Abstract

The article proposes and examines an iterative algorithm for a finite family of non-expansive mappings T<subscript>1</subscript>, T<subscript>2</subscript>, …, T<subscript>r</subscript>. The study uses various iterative schemes to examine a common fixed point of a finite family of non-expansive mappings under some type of control conditions. It reveals that the proposed iterative algorithm converges strongly to a common fixed point of T<subscript>1</subscript>, T<subscript>2</subscript>, …, T<subscript>r</subscript>. The section also provides computations of the problem and explains how they arrived to their conclusion.

Details

Language :
English
ISSN :
10255834
Volume :
2007
Issue :
1
Database :
Complementary Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
31689461
Full Text :
https://doi.org/10.1155/2007/37513