New Iterative Scheme for an Infinite Family of Nonexpansive Maps

摘要：

In 2006,Chang proved that the sequence xn generated by the iteration xn+1=bn+1 f(Xn) + (1-bn+1)Tn+1Xn converges strongly to a common fixed point of a finite family of nonexpansive mappings Tn in uniformly smooth Banach spaces, where f is a contraction self-mapping. In this paper, the author considers the iteration in more general case that Tn is an infinite family of nonexpansive mappings, and proves that Changs result holds still in the framework of reflexive Banach spaces with the weakly sequentially continuous duality mapping.

关键词： reflexive Banach space infinite family of nonexpansive mappings contractive mapping weakly sequential continuity duality mapping

作者: Ren-Xing NI

作者单位: Department of Mathematics,Shaoxing University,Shaoxing Zhejiang,312000,P.R.China

会议类型: 国际会议

会议名称: The Third International Conference on Modelling and Simulation(第三届国际建模、计算、仿真、优化及其应用学术会议 ICMS 2010)

会议地点: 无锡

会议语种:英文

页码: 249-252

在线出版日期: 2010-06-04（万方平台首次上网日期，不代表论文的发表时间）