四川师范大学学报(自然科学版)2004,Vol.27Issue(3):221-227,7.
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
Proximal Point Algorithms for Solving Generalized Mixed Quasi Variational-like Inclusion with Pseudomonotone Type Mappings
摘要
Abstract
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Key words
Generalized mixed quasi-variational-like inclusion/η-pseudomonotone/Skew-symmetric/Auxiliary variational inclusion/Proximal point iterative algorithm分类
数理科学引用本文复制引用
丁协平..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[J].四川师范大学学报(自然科学版),2004,27(3):221-227,7.基金项目
四川省教育厅重点科研基金(2003A081和SZD0406)资助项目 (2003A081和SZD0406)