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含参广义集值优化问题解集映射的连续性 被引量：3

Continuity of Solution Set Mapping for Parametric Generalized Set-Valued Optimization Problems
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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. 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.
作者 孟旭东 王三华 MENG Xudong;WANG Sanhua(Department of Basic Courses,Science and Technogogy College of NCHU,Nanchang 330034,China;School of Sciences,Nanchang University,Nanchang 330031,China)
机构地区 南昌航空大学科技学院思政与基础教学部 南昌大学理学院
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2018年第4期830-836,共7页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:11061023 11201216) 江西省教育厅科学技术研究项目(批准号:GJJ161597)
关键词 解集映射 连续性 含参广义集值优化问题 solution set mapping continuity parametric generalized set valued optimization problem
分类号 O221.3 [理学—运筹学与控制论]
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吉林大学学报（理学版）
2018年 第4期

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