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 { Ti} 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 s...
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| Main Authors: | , |
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| Format: | Journal |
| Published: |
2018
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| Subjects: | |
| Online Access: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84859716375&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/51800 |
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| Institution: | Chiang Mai University |
| Summary: | We introduce an iterative method for finding a common fixed point of a countable family of multivalued quasi-nonexpansive mapping { Ti} 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 Tiare continuous and one of Tiis hemicompact, and the domain K is compact. Copyright © 2012 Aunyarat Bunyawat and Suthep Suantai. |
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