一类广义变分不等式组的迭代算法  

Iteration algorithm of a class for general variational inequalities system

作　　者：张丽娟[1] 佟慧[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2014年第3期225-229,共5页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11201110);河北省自然科学基金资助项目(A2012201054);河北省教育厅优秀青年基金资助项目(Y2012021)

摘　　要：依赖投影映射的性质,在Banach空间中研究了具不同映射的变分不等式组解的逼近问题.利用向阳非扩张保核映射Qc的性质,导出了一种隐迭代方法,推广了相关结论.The approximation solution of a system for variational inequalities with different mapping in BanaCh spaces was studied, based on the convergence of projection methods. In this paper, applying the property of the sunny nonexpansive retraction Qc, the implicit iterative method was introduced. The result includes previously result as special case.

关 键 词：广义变分不等式组 一致光滑BANACH空间 隐迭代算法 

分 类 号：O177.91[理学—数学]