含参广义集值优化问题解集映射的连续性  

Continuity of Solution Set Mapping for 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：[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

出　　处：《吉林大学学报（理学版）》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)

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.

关 键 词：解集映射 连续性 含参广义集值优化问题 

分 类 号：O221.3[理学—运筹学与控制论]