Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces
Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T : K → KC(K) is a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0...
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| Main Authors: | , |
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| Format: | Article |
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Springer Publishing Company
2015
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| Online Access: | http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84867964012&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38640 |
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| Institution: | Chiang Mai University |
| Summary: | Abkar and Eslamian (Nonlinear Anal. TMA, 74, 1835-1840, 2011) prove that if K is a nonempty bounded closed convex subset of a complete CAT(0) space X, t : K → K is a single-valued quasi-nonexpansive mapping and T : K → KC(K) is a multivalued mapping satisfying conditions (E) and (Cλ) for some λ ∈ (0, 1) such that t and T commute weakly, then there exists a point z ∈ K such that z = t(z) ∈ T(z). In this paper, we extend this result to the general setting of uniformly convex metric spaces. Nevertheless, condition (E) of T can be weakened to the strongly demiclosedness of I - T. © 2011 Laowang and Panyanak; licensee Springer. |
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