Banach空间中关于广义变分不等式的迭代算法的强收敛(英文) 被引量：1

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

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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.

作者刘英

机构地区河北大学数学与计算机学院

出处《数学进展》 CSCD 北大核心 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)

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 Kadee-Klee property continuity generalized f-projection generalized vari- ational inequality normalized duality mapping

分类号 O177.91 [理学—基础数学]

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