Best proximity point theorems for α-nonexpansive mappings in Banach spaces
In this paper, we discuss sufficient and necessary conditions for the existence of best proximity points for non-self-a-nonexpansive mappings in Banach spaces. We obtain convergence results under some assumptions, and we prove the existence of common best proximity points for a family of non-self-a-...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
Springer International Publishing
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/10356 |
| _version_ | 1848746210247049216 |
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| author | Kong, D. Liu, Lishan Wu, Yong Hong |
| author_facet | Kong, D. Liu, Lishan Wu, Yong Hong |
| author_sort | Kong, D. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we discuss sufficient and necessary conditions for the existence of best proximity points for non-self-a-nonexpansive mappings in Banach spaces. We obtain convergence results under some assumptions, and we prove the existence of common best proximity points for a family of non-self-a-nonexpansive mappings. |
| first_indexed | 2025-11-14T06:29:38Z |
| format | Journal Article |
| id | curtin-20.500.11937-10356 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:29:38Z |
| publishDate | 2015 |
| publisher | Springer International Publishing |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-103562017-09-13T14:50:55Z Best proximity point theorems for α-nonexpansive mappings in Banach spaces Kong, D. Liu, Lishan Wu, Yong Hong In this paper, we discuss sufficient and necessary conditions for the existence of best proximity points for non-self-a-nonexpansive mappings in Banach spaces. We obtain convergence results under some assumptions, and we prove the existence of common best proximity points for a family of non-self-a-nonexpansive mappings. 2015 Journal Article http://hdl.handle.net/20.500.11937/10356 10.1186/s13663-015-0413-3 Springer International Publishing fulltext |
| spellingShingle | Kong, D. Liu, Lishan Wu, Yong Hong Best proximity point theorems for α-nonexpansive mappings in Banach spaces |
| title | Best proximity point theorems for α-nonexpansive mappings in Banach spaces |
| title_full | Best proximity point theorems for α-nonexpansive mappings in Banach spaces |
| title_fullStr | Best proximity point theorems for α-nonexpansive mappings in Banach spaces |
| title_full_unstemmed | Best proximity point theorems for α-nonexpansive mappings in Banach spaces |
| title_short | Best proximity point theorems for α-nonexpansive mappings in Banach spaces |
| title_sort | best proximity point theorems for α-nonexpansive mappings in banach spaces |
| url | http://hdl.handle.net/20.500.11937/10356 |