Common fixed points of an infinite family of nonexpansive mappings in uniformly convex metric spaces

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Article ID:	iaor20128526
Volume:	57
Issue:	3-4
Start Page Number:	306
End Page Number:	310
Publication Date:	Feb 2013
Journal:	Mathematical and Computer Modelling
Authors:	Phuengrattana Withun, Suantai Suthep
Keywords:	programming: convex

Abstract:

We generalize the notion of $K$ equ1 ‐mapping due to Kangtunyakarn and Suantai (2009) [1] for an infinite family of nonexpansive mappings on a convex metric space and study some of its useful properties. We also establish strong convergence of a Mann type iterative sequence to a common fixed point of an infinite family of nonexpansive mappings on a uniformly convex metric space.

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