TY - JOUR AU - Song, Yisheng AU - Chen, Rudong PY - 2006 DA - 2006/07/26 TI - An approximation method for continuous pseudocontractive mappings JO - Journal of Inequalities and Applications SP - 28950 VL - 2006 IS - 1 AB - Letbe a closed convex subset of a real Banach space,is continuous pseudocontractive mapping, andis a fixed-Lipschitzian strongly pseudocontractive mapping. For any, letbe the unique fixed point of. We prove that ifhas a fixed point andhas uniformly Gâteaux differentiable norm, such that every nonempty closed bounded convex subset ofhas the fixed point property for nonexpansive self-mappings, thenconverges to a fixed point ofasapproaches to 0. The results presented extend and improve the corresponding results of Morales and Jung (2000) and Hong-Kun Xu (2004). SN - 1029-242X UR - https://doi.org/10.1155/JIA/2006/28950 DO - 10.1155/JIA/2006/28950 ID - Song2006 ER -