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摘要
Let K be a closed convex subset of a real Banach space E, T : K. K is continuous pseudo-contractive mapping, and f : K -> K is a fixed L-Lipschitzian strongly pseudocontractive mapping. For any t is an element of (0,1), let x(t) be the unique fixed point of t f +(1 - t) T. We prove that if T has a fixed point and E has uniformly Gateaux differentiable norm, such that every nonempty closed bounded convex subset of K has the fixed point property for nonexpansive self-mappings, then {x(t)} converges to a fixed point of T as t approaches to 0. The results presented extend and improve the corresponding results of Morales and Jung (2000) and Hong-Kun Xu (2004). Copyright (C) 2006 Y. Song and R. Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
