Viscosity Approximation to Common Fixed Points of Families of Nonexpansive Mappings with Weakly Contractive Mappings
Abdolrahman Razani, S. Homaeipour · Fixed Point Theory and Applications · 2010
Abstract Let X be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence "Equation missing", where "Equation missing""Equation missing" (0, 1), "Equation missing" is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping. Strong convergence of the sequence "Equation missing" is proved.