Banach空间中一类广义变分不等式组的隐迭代算法  

Implicit Iteration Algorithms of a Class for General Variational Inequalities System in Banach Spaces

作　　者：隆建军[1] 张光俊 LONG Jianjun;ZHANG Guangjun(Dahe Middle School of Panzhihua, Panzhihua 617061,China;Jinyang Junior Middle School, Jinyang 616250,China)

机构地区：[1]攀枝花市大河中学校,四川攀枝花617061 [2]金阳县初级中学,四川金阳616250

出　　处：《四川职业技术学院学报》2019年第2期127-134,共8页Journal of Sichuan Vocational and Technical College

基　　金：四川省教育厅自然科学青年基金(2015ZA113)

摘　　要：本文利用向阳非扩张保核映射QK的性质,导出了一种隐迭代算法。用这一方法,在Banach空间中证明了由隐迭代算法生成的迭代序列{x_(1,m)},{x_(2,m)},…,{x_(n,m)}的强收敛性。推广和发展了一些作者近期的结果。In this paper,applying the property of the sunny non expansive retraction QK,we introduced the implicit iteration methods. By using these methods, the convergence of the sequences {x1,m},{x2,m},…,{xn,m} generated is proved by our implicit iterative algorithm in uniformly smooth Banach spaces. The result generalizes and develops the author’s recent results.

关 键 词：广义变分不等式组 BANACH空间 隐迭代算法 向阳非扩张保核映射 逼近解 

分 类 号：O177.91[理学—数学]