应用数学2016，Vol.29Issue(1)：77-83,7.
锥-次预不变凸集值优化问题近似解的最优性条件
Approximate Solutions for Set-valued Optimization Problems Involving Cone-subpreinvexity
摘要
Abstract
This paper investigates the optimality conditions of approximate solutions in set-valued optimization problems involving generalized cone-preinvexity by utilizing contingent epiderivative.Firstly,the concept of cone-subpreinvex set-valued mapping is presented.Then,the two properties of cone-subpreinvex set-valued mapping are obtained.Finally,under the assumption of cone-subpreinvexity,the sufficient optimality conditions are established for weak approximate efficient and strong approximate minimizer elements,respectively.关键词
锥-预不变凸集值映射/最优性条件/相依上图导数/近似解Key words
Cone-preinvex set-valued mapping/Optimality condition/Contingent epiderivative/Approximate solution分类
数理科学引用本文复制引用
余国林,马军,刘三阳..锥-次预不变凸集值优化问题近似解的最优性条件[J].应用数学,2016,29(1):77-83,7.基金项目
Supported by the Natural Science Foundation of China under Grant (11361001),the Natural Science Foundation of Ningxia under Grant (NZ14101) （11361001）
