STRONG CONVERGENCE THEOREMS FOR NONEXPANSIVE MAPPING

• 作 者: Yongfu SU Xiaolong QIN
• 机 构: Department of Mathematics,Tianjin Polytechnic University,Tianjin 300160,China
• 出 处: 系统科学与复杂性学报（英文版）
• 发表日期: 2007年1期
• 关键词: Iteration scheme nonexpansive map sunny and nonexpansive retraction

This paper introduces a composite iteration scheme for approximating a fixed point of nonexpansive mappings in the framework of uniformly smooth Banach spaces and the reflexive Banach spaces which have a weakly continuous duality map,respectively.we establish the strong convergence of the composite iteration scheme.The results improve and extend those of Kim,Xu,Wittmann and some others.