Fixed point theorems for a semigroup of generalized asymptotically nonexpansive mappings in CAT(0) spaces
In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts : s ∈ S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopo...
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| Main Authors: | , |
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| Format: | Article |
| Published: |
Springer Publishing Company
2015
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| Subjects: | |
| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84899475416&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38731 |
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| Institution: | Chiang Mai University |
| Summary: | In this paper, we prove the existence of common fixed points for a generalized asymptotically nonexpansive semigroup {Ts : s ∈ S} in CAT(0) spaces, when S is a left reversible semitopological semigroup. We also prove Δ- and strong convergence of such a semigroup when S is a right reversible semitopological semigroup. Our results improve and extend the corresponding results existing in the literature. © 2012 Phuengrattana and Suantai; licensee Springer. |
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