Banach空间中关于广义变分不等式的迭代算法的强收敛(英文)  

Strong Convergence of Iterative Algorithms for Generalized Variational Inequalities in Banach Spaces

作　　者：刘英[1] 

机构地区：[1]河北大学数学与计算机学院,保定河北071002

出　　处：《数学进展》2013年第6期849-858,共10页Advances in Mathematics（China）

基　　金：supported by the Natural Science Youth Foundation of Hebei Province(No.A2011201053)

摘　　要：根据广义f-投影,引进了两个迭代算法来逼近Banach空间中一类广义变分不等式的解.证明了该类变分不等式的解的存在性与迭代序列的强收敛性.本文的结果推广和改进了以前的相关结论.In this paper, we introduce two iterative methods based on the generalized f-projection for approximating solutions of generalized variational inequalities in a Banach space. The existence of solutions and the convergence of the proposed iterative schemes are obtained. Our results extend and improve previous results.

关 键 词：Kadee—Klee性质 连续性 广义f-投影 广义变分不等式 正规对偶映射 

分 类 号：O177.91[理学—数学]