锥-次预不变凸集值优化问题近似解的最优性条件OA北大核心CSCDCSTPCD
Approximate Solutions for Set-valued Optimization Problems Involving Cone-subpreinvexity
本文讨论相依上图导数形式下广义锥预不变集值优化近似解的最优性条件问题.首先,引入锥-次预不变凸集值映射的概念,并举例说明次类广义锥凸性是锥预不变凸性的推广.其次,得到锥-次预不变凸集值映射的两个有用性质.最后,在锥次预不变凸性条件下,分别建立集值优化问题强近似极小元和弱近似有效元的充分最优性条件.
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 approx…查看全部>>
余国林;马军;刘三阳
北方民族大学应用数学研究所,宁夏银川750021北方民族大学应用数学研究所,宁夏银川750021西安电子科技大学数学系,陕西西安710071
数理科学
锥-预不变凸集值映射最优性条件相依上图导数近似解
Cone-preinvex set-valued mappingOptimality conditionContingent epiderivativeApproximate solution
《应用数学》 2016 (1)
77-83,7
Supported by the Natural Science Foundation of China under Grant (11361001),the Natural Science Foundation of Ningxia under Grant (NZ14101)
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