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首页|期刊导航|四川师范大学学报(自然科学版)|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

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

丁协平

四川师范大学学报(自然科学版)2004,Vol.27Issue(3):221-227,7.
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

丁协平1

作者信息

  • 1. 四川师范大学,数学与软件科学学院,四川,成都,610066
  • 折叠

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)

四川师范大学学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-8395

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