Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces

被引：0
作者：
Worawut Laowang
Bancha Panyanak
机构：
[1] Chiang Mai University,Department of Mathematics, Faculty of Science
[2] CHE,Centre of Excellence in Mathematics
来源：
Fixed Point Theory and Applications | / 2011卷
关键词：
generalized multivalued nonexpansive mapping; commuting mapping; common fixed point; uniformly convex metric space;
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摘要：
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.
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