Existence theorems for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces
In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the exi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-84885921309&partnerID=40&md5=9561032b710bc602d03b16146613fea7 http://cmuir.cmu.ac.th/handle/6653943832/7196 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | In this paper, we prove the fixed point property for generalized asymptotically nonexpansive mappings in uniformly convex metric spaces by using the concept of asymptotic center. We also discuss some fixed point theorems in uniformly convex metric spaces. Our results can be applied to obtain the existence of a fixed point of a generalized asymptotically nonexpansive mapping in both uniformly convex hyperbolic spaces and CAT(O) spaces. © Heldermann Verlag. |
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