Approximation Fixed Points of Nonexpansive Maps in Banach Spaces

摘要：

In this paper, the author introduces a more general iterative scheme, and proves that the iterative sequence converges strongly to a fixed point of a nonexpansive mapping which solves some variational inequality in the framework of reflexive Banach spaces with the weakly sequentially continuous duality mapping. The presented results extend and unify the corresponding results reported in some recent literatures.

关键词： fixed point variational inequality nonexpansive mapping contractive mapping reflexive Banach spaces with the weakly sequentially continuous 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: 283-286

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）