Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces
We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { T i } in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point...
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th-cmuir.6653943832-68082014-08-30T03:51:16Z Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces Bunyawat A. Suantai S. We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { T i } in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of each T i. Some strong convergence theorems of the proposed method are also obtained for the following cases: all T i are continuous and one of T i is hemicompact, and the domain K is compact. Copyright © 2012 Aunyarat Bunyawat and Suthep Suantai. 2014-08-30T03:51:16Z 2014-08-30T03:51:16Z 2012 Article 10853375 10.1155/2012/435790 http://www.scopus.com/inward/record.url?eid=2-s2.0-84859716375&partnerID=40&md5=1f026ca1b2497d648e057c2ee81ec1d7 http://cmuir.cmu.ac.th/handle/6653943832/6808 English |
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We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { T i } in a uniformly convex Banach space. We prove that under certain control conditions, the iterative sequence generated by our method is an approximating fixed point sequence of each T i. Some strong convergence theorems of the proposed method are also obtained for the following cases: all T i are continuous and one of T i is hemicompact, and the domain K is compact. Copyright © 2012 Aunyarat Bunyawat and Suthep Suantai. |
| format |
Article |
| author |
Bunyawat A. Suantai S. |
| spellingShingle |
Bunyawat A. Suantai S. Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| author_facet |
Bunyawat A. Suantai S. |
| author_sort |
Bunyawat A. |
| title |
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| title_short |
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| title_full |
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| title_fullStr |
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| title_full_unstemmed |
Convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| title_sort |
convergence theorems for infinite family of multivalued quasi-nonexpansive mappings in uniformly convex banach spaces |
| publishDate |
2014 |
| url |
http://www.scopus.com/inward/record.url?eid=2-s2.0-84859716375&partnerID=40&md5=1f026ca1b2497d648e057c2ee81ec1d7 http://cmuir.cmu.ac.th/handle/6653943832/6808 |
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