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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th-cmuir.6653943832-475472018-04-25T08:41:13Z The homotopic invariance for fixed points of set-valued mappings in banach spaces Bancha Panyanak 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. 2018-04-25T08:41:13Z 2018-04-25T08:41:13Z 2013-10-31 Journal 13128876 2-s2.0-84886546775 10.12988/ijma.2013.35118 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886546775&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47547 |
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Chiang Mai University |
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Thailand |
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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. |
| format |
Journal |
| author |
Bancha Panyanak |
| spellingShingle |
Bancha Panyanak The homotopic invariance for fixed points of set-valued mappings in banach spaces |
| author_facet |
Bancha Panyanak |
| author_sort |
Bancha Panyanak |
| title |
The homotopic invariance for fixed points of set-valued mappings in banach spaces |
| title_short |
The homotopic invariance for fixed points of set-valued mappings in banach spaces |
| title_full |
The homotopic invariance for fixed points of set-valued mappings in banach spaces |
| title_fullStr |
The homotopic invariance for fixed points of set-valued mappings in banach spaces |
| title_full_unstemmed |
The homotopic invariance for fixed points of set-valued mappings in banach spaces |
| title_sort |
homotopic invariance for fixed points of set-valued mappings in banach spaces |
| publishDate |
2018 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886546775&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47547 |
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