Common fixed-point results in uniformly convex Banach spaces
We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping s...
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| Main Authors: | , , , |
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| 格式: | 雜誌 |
| 出版: |
2017
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| 在線閱讀: | https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84896278387&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/42925 |
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| 總結: | We introduce a condition on mappings, namely condition (K). In a uniformly convex Banach space, the condition is weaker than quasi-nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed points for a commuting pair consisting of a mapping satisfying condition (K) and a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0, 1). © 2012 Akkasriworn et al.; licensee Springer. |
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