The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces
© Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives...
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th-cmuir.6653943832-423532017-09-28T04:26:37Z The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces Panyanak B. © Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives an affirmative answer to a question raised by Kirk (2003). 2017-09-28T04:26:37Z 2017-09-28T04:26:37Z 2016-01-01 Journal 13454773 2-s2.0-85012994946 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85012994946&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42353 |
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© Copyright 2016. In this paper, we prove the demiclosed principle for multi-valued nonexpansive mappings in uniformly convex Banach spaces. As consequences, we obtain the homotopic invariance for fixed points of both single-valued and multivalued nonexpansive mappings. One of our main results gives an affirmative answer to a question raised by Kirk (2003). |
| format |
Journal |
| author |
Panyanak B. |
| spellingShingle |
Panyanak B. The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces |
| author_facet |
Panyanak B. |
| author_sort |
Panyanak B. |
| title |
The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces |
| title_short |
The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces |
| title_full |
The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces |
| title_fullStr |
The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces |
| title_full_unstemmed |
The demiclosed principle for multi-valued nonexpansive mappings in Banach spaces |
| title_sort |
demiclosed principle for multi-valued nonexpansive mappings in banach spaces |
| publishDate |
2017 |
| url |
https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85012994946&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42353 |
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