Iterative algorithms with errors for maximal monotone operators and quasi-φ-nonexpansive mappings

摘要：

In this paper, we consider a new projection method with errors for finding common elements of the set of fixed points of a quasi-<p-nonexpansive mapping and the set of zero points of a maximal monotone operator. We establish a strong convergence theorem of common elements by using new analysis techniques in the setting of reflexive, strictly convex, smooth Banach spaces with the property(K). As applications, the problems of finding a minimizer of a convex function is considered.

关键词： quasi-ip-nonexpansive mapping maximal monotone operator the property(K)

作者: Xinghui Gao Lerong Ma

作者单位: College of Mathematics and Computer Science, Yanan University, Yanan 716000, China

会议类型: 国际会议

会议名称: 2010 International Conference on Probability and Statistics of the International Institute for General Systems Studies(国际一般系统理论研究会中国概率统计学会第二届学术会议IIGSS-CPS2010)

会议地点: 南京

会议语种:英文

页码: 673-676

在线出版日期: 2010-07-29（万方平台首次上网日期，不代表论文的发表时间）