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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| Format: | Journal |
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2018
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| 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 |
| Summary: | 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 Bancha Panyanak. |
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