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[1]黄龙光.ε-变分不等式及其对偶性[J].集美大学学报(自然科学版),2020,25(5):376-378.
　HUANG Longguang.ε-Variational Inequality and Its Duality[J].Journal of Jimei University,2020,25(5):376-378.
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《集美大学学报（自然科学版）》[ISSN:1007-7405/CN:35-1186/N]

卷:: 第25卷
期数:: 2020年第5期

页码:: 376-378

栏目:: 数理科学与信息工程

出版日期:: 2020-09-30

文章信息/Info

Title:: ε-Variational Inequality and Its Duality

作者:: 黄龙光; (集美大学理学院,福建厦门 361021 )

Author(s):: HUANG Longguang; (School of Science,Jimei University,Xiamen 361021,China)

关键词:: ε-变分不等式; ε-次微分; 对偶问题; ε-最优解

Keywords:: ε-variational inequality; ε-subdifferential; dual problem; ε-optimal solution

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摘要:: 利用ε-次微分和凸函数的共轭函数，讨论Banach空间带集值映射的ε-变分不等式及其对偶性,给出无约束条件下凸优化问题的ε-最优解、ε-变分不等式及其对偶问题解之间的若干特征刻画。

Abstract:: The ε-variational inequality with set-valued mapping and its duality were discussed by the ε-subdifferential and conjugate function of convex function in Banach space.Some characteristic relationships for solutions of problems discussing among ε-optimal solutions of convex optimization problems with non-constraint condition,ε-variational inequality and its duality were presented.

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更新日期/Last Update: 2020-11-04