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

• Main Authors: Laowang,W., Panyanak,B.
• Format: Article
• Published: Springer Publishing Company 2015
• Subjects: Geometry and Topology; Applied Mathematics
• Online Access: http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=84867964012&origin=inward; http://cmuir.cmu.ac.th/handle/6653943832/38640
• Institution: Chiang Mai University

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.