求解具有伪单调映象的广义混合拟似变分包含的邻近点算法(英文)  

Proximal Point Algorithms for Solving Generalized Mixed Quasi Variational-like Inclusion with Pseudomonotone Type Mappings

作　　者：丁协平[1] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066

出　　处：《四川师范大学学报（自然科学版）》2004年第3期221-227,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：四川省教育厅重点科研基金 (2 0 0 3A0 81和SZD0 40 6 )资助项目

摘　　要：对集值映象引入了 η 伪单调性概念 .应用此概念和辅助变分不等式技巧 ,对求解具有伪单调集值映象的广义混合拟似变分包含 ,建议和分析了某些新的迭代算法 .算法的收敛性仅需要集值映象的连续性和 η 伪单调性 .算法和收敛性结果是新的且改进了最近文献中的某些已知结果 .The concept of η-pseudo-monotonicity for set-valued mappings is introduced. By applying the concept and the auxiliary variational inequality technique, some new iterative algorithms for solving generalized mixed quasi-variational-like inclusion involving η-pseudomonotone set-valued mappings are suggested and analyzed. The convergence of the (algorithms) only need the continuity and the η-pseudomonotonicity of set-valued mappings. The algorithm and the convergence result obtained here are new which improve some known results in recent literatures.

关 键 词：广义混合拟似变分包含 η-伪单调 斜对称 辅助变分包含 邻近点迭代算法 

分 类 号：O177.92[理学—数学] O178[理学—基础数学]