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

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.