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Title: Strong convergence theorems for a sequence of nonexpansive mappings with gauge functions
Authors: Prasit Cholamjiak
Yeol Je Cho
Suthep Suantai
Keywords: Mathematics
Issue Date: 1-Jan-2013
Abstract: In this paper, we first prove a path convergence theorem for a nonexpansive mapping in a reflexive and strictly convex Banach space which has a uniformly Gâteaux differentiable norm and admits the duality mapping jφ, where φ is a gauge function on [0, ∞). Using this result, strong convergence theorems for common fixed points of a countable family of nonexpansive mappings are established.
ISSN: 18440835
Appears in Collections:CMUL: Journal Articles

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