Title: The homotopic invariance for fixed points of set-valued mappings in Banach spaces
Abstract: We obtain the homotopic invariance for fixed points of set-valued contractions and nonexpansive mappings whose domain is a bounded nonexpansive retract and nonempty interior subset of a uniformly convex Banach space. This gives a partial answer to a problem posed by Sims, Xu and Yuan (2001).
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: article
Indexed In: ['crossref']
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