The homotopic invariance for fixed points of set-valued mappings in banach spaces

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). © 2013...

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Bibliographic Details
Main Author: Bancha Panyanak
Format: Journal
Published: 2018
Subjects:
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886546775&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/52736
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Institution: Chiang Mai University