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New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators

New iterative schemes for strongly relatively nonexpansive mappings and maximal monotone operators
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摘要 In this paper, some new iterative schemes for approximating the common element of the set of fixed points of strongly relatively nonexpansive mappings and the set of zero points of maximal monotone operators in a real uniformly smooth and uniformly convex Banach space are proposed. Some weak convergence theorems are obtained, which extend and complement some previous work. In this paper, some new iterative schemes for approximating the common element of the set of fixed points of strongly relatively nonexpansive mappings and the set of zero points of maximal monotone operators in a real uniformly smooth and uniformly convex Banach space are proposed. Some weak convergence theorems are obtained, which extend and complement some previous work.
作者 WEI Li SU Yong-fu ZHOU Hai-yun
机构地区 School of Mathematics and Statistics Department of Mathematics Institute of Mathematics and Computer Sciences
出处 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2010年第2期199-208,共10页 高校应用数学学报（英文版）（B辑）
基金 Supported by the National Natural Science Foundation of China(10771050) the Natural Science Foun-dation of Hebei Province(A2010001482)
关键词 Strongly relatively nonexpansive mapping maximal monotone operator zero point fixed point weak convergence. Strongly relatively nonexpansive mapping, maximal monotone operator, zero point, fixed point,weak convergence.
分类号 O177.91 [理学—基础数学] O241.6 [理学—计算数学]
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Applied Mathematics(A Journal of Chinese Universities)
2010年 第2期

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