Browder and Göhde fixed point theorem for G-nonexpansive mappings
نویسندگان
چکیده
In this paper, we prove the analog to Browder and Göhde fixed point theorem for G-nonexpansive mappings in complete hyperbolic metric spaces uniformly convex. In the linear case, this result is refined. Indeed, we prove that if X is a Banach space uniformly convex in every direction endowed with a graph G, then every G-nonexpansive mapping T : A → A, where A is a nonempty weakly compact convex subset of X, has a fixed point provided that there exists u0 ∈ A such that T (u0) and u0 are G-connected. c ©2016 All rights reserved.
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