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广义集值变分包含的迭代算法
An Iterative Algorithom for Generalized Set-Valued Variational Inclusion
【摘要】 引入了N(·,·):H×H→H在第一变元关于A是α g 松驰Lipschitz连续的概念,利用一种新的单调算子—h 单调算子所生成的预解算子,给出了一类广义集值变分包含的迭代算法,并证明了该算法的强收敛性.
【Abstract】 In this paper, a new concept of α-g-relaxed Lipschitz is introduced. By using the resolvent operator technique associated with a new class of monotone operator-h-monotone operator, an iterative algorithm for generalized set-valued variational inclusion is suggested and analysed. The convergence of iterative sequence generated by the algorithm is also proved.
【关键词】 αg松驰Lipschitz连续;
h单调算子;
预解算子;
迭代算法;
Hilbert空间;
【Key words】 α-g-relaxed lipschitz; Generalized set-valued variational inclusion; h-monotone operator; Iterative algorithm; Hibert space;
【Key words】 α-g-relaxed lipschitz; Generalized set-valued variational inclusion; h-monotone operator; Iterative algorithm; Hibert space;
【基金】 四川省教育厅重点科研基金资助项目
- 【文献出处】 四川师范大学学报(自然科学版) ,Journal of Sichuan Normal University(Natural Science) , 编辑部邮箱 ,2004年05期
- 【分类号】O241
- 【被引频次】7
- 【下载频次】47