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Banach空间中关于广义变分不等式的杂交投影算法

On Hybrid Projection Methods for General Variational Inequalities in Banach Spaces
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摘要 本文利用杂交广义投影算法引进了一迭代序列来逼近Banach空间中一类广义变分不等式的解.因为这类广义变分不等式包括古典变分不等式和相补问题作为特殊例子,因此本文统一了以前一些相关结果. In this paper, we introduce an iterative sequence by using the hybrid generalized projection algorithm for approximating a solution of a general variational inequality in Banach spaces. Since the general variational inequality includes the classical variational inequality and complementarity problem as special cases, results obtained in this paper unify some previous corresponding results.
出处 《应用数学学报》 CSCD 北大核心 2016年第4期495-504,共10页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(11401157)资助项目
关键词 广义变分不等式 广义投影 柯西列 逆强g-单调映射 连续性 general variational inequality generalized projection Cauchy sequence inverse-strongly-g-monotone mapping continuity
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