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

作　　者：WEI Li SU Yong-fu ZHOU Hai-yun 

机构地区：[1]School of Mathematics and Statistics, Hebei University of Economics and Business, Shijiazhuang 050061, China [2]Department of Mathematics, Tianjin Polytechnic University, Tianjin 300160, China [3]Institute of Mathematics and Computer Sciences, Hebei Normal University, Shijiazhuang 050016, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》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)

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.

关 键 词：Strongly relatively nonexpansive mapping maximal monotone operator zero point fixed point weak convergence. 

分 类 号：O177.91[理学—数学] O241.6[理学—基础数学]