TY - JOUR
T1 - Browder and Gohde fixed point theorem for G-nonexpansive mappings
AU - Alfuraidan, Monther Rashed Saleh
AU - Shukri, SA
PY - 2016
Y1 - 2016
N2 - In this paper, we prove the analog to Browder and Gohde 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 u(0) is an element of A such that T (u(0)) and u(0) are G-connected. (C) 2016 All rights reserved.
AB - In this paper, we prove the analog to Browder and Gohde 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 u(0) is an element of A such that T (u(0)) and u(0) are G-connected. (C) 2016 All rights reserved.
M3 - Article
SN - 2008-1898
JO - Journal of Nonlinear Science and Applications
JF - Journal of Nonlinear Science and Applications
ER -