含参广义集值优化问题解集映射的连续性

吉林大学学报(理学版)

含参广义集值优化问题解集映射的连续性

孟旭东^1, 王三华²

1. 南昌航空大学科技学院思政与基础教学部, 南昌 330034； 2. 南昌大学理学院, 南昌 330031

收稿日期:2017-06-22 出版日期:2018-07-26 发布日期:2018-07-31
通讯作者: 王三华 E-mail:wsh_315@163.com

Continuity of Solution Set Mapping for ParametricGeneralized SetValued Optimization Problems

MENG Xudong¹, WANG Sanhua²

1. Department of Basic Courses, Science and Technology College of NCHU, Nanchang 330034, China;2. School of Sciences, Nanchang University, Nanchang 330031, China

Received:2017-06-22 Online:2018-07-26 Published:2018-07-31
Contact: WANG Sanhua E-mail:wsh_315@163.com

摘要/Abstract

摘要： 在拓扑向量空间中考虑双参广义集值优化问题解集映射的连续性. 当目标函数构成的序偶映射为l严格锥拟凸时, 在较弱的约束品性假设下, 得到了双参广义集值优化问题解集映射连续的最优性条件.

关键词: 连续性, 解集映射, 含参广义集值优化问题

Abstract: We considered the continuity of solution set mapping for two parametric generalized setvalued optimization problems in topological vector space. When ordered pair mapping consisting the objective function was lstrictly conequasiconvex, under the assumption of weaker constraint qualification, we obtained the optimization condtions for the continuity of the solution set mapping for two parametric generalized setvalued optimization problems.

Key words: parametric generalized setvalued optimization problem, continuity, solution set mapping

中图分类号:

O221.3

孟旭东, 王三华. 含参广义集值优化问题解集映射的连续性[J]. 吉林大学学报(理学版), 2018, 56(4): 830-836.

MENG Xudong, WANG Sanhua. Continuity of Solution Set Mapping for ParametricGeneralized SetValued Optimization Problems[J]. Journal of Jilin University Science Edition, 2018, 56(4): 830-836.

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