Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings
Liang-Gen Hu · Fixed Point Theory and Applications · 2008
Abstract The purpose of this paper is to consider that a modified Halpern's iterative sequence "Equation missing" converges strongly to a fixed point of nonexpansive mappings in Banach spaces which have a uniformly Gâteaux differentiable norm. Our result is an extension of the corresponding results.