向量优化中E超有效解的最优性条件  

Optimality Conditions of E-Super-efficient Solutions in Vector Optimization

作　　者：林安 刘学文 LIN An;LIU Xue-wen(Mathematics and Computer College,Chongqing Normal University Foreign Trade and Business College,Chongqing 401520,China;School of Mathematical Sciences,Chongqing Normal University,Chongqing401331,China)

机构地区：[1]重庆师范大学涉外商贸学院数学与计算机学院,重庆401520 [2]重庆师范大学数学科学学院,重庆401331

出　　处：《西南大学学报（自然科学版）》2018年第7期101-105,共5页Journal of Southwest University(Natural Science Edition)

基　　金：重庆市科委重点项目(cstc2015jcyjBX0029);重庆师范大学校级科研项目(KY2017003)

摘　　要：基于改进集而提出的向量优化问题的E-超有效性是对经典的超有效性概念的重要推广.在实局部凸拓扑线性空间中,利用邻近E-次似凸性建立了向量优化问题E-超有效解的一些最优性必要与充分条件,推广了一些已有结果到近似解.E-super efficiency defined by improvement sets is an important generalization of the classical super-efficiency in vector optimization.In this paper,by means of the nearly E-subconvexlikeness,some necessary and sufficient optimality conditions of E-super-efficient solutions are established for vector optimization problems in a real locally convex topological linear space.Our main results generalize some known results to the approximate solution case.

关 键 词：向量优化 E-超有效性 邻近E-次似凸性 最优性条件 

分 类 号：O221.6[理学—运筹学与控制论]