集值优化问题广义拟近似解的性质与存在性定理  

The Properties and Existence Theory for Generalized Quasi-Approximate Solutions to Set-Valued Optimization Problems

作　　者：王定畅[1] 仇秋生[1] 

机构地区：[1]浙江师范大学数学系,金华321004

出　　处：《应用数学学报》2015年第5期929-943,共15页Acta Mathematicae Applicatae Sinica

基　　金：国家自然科学基金(11471291;11201379)资助项目

摘　　要：本文引进了集值优化问题的一种广义拟近似解,试图统一文中提到的其它集值优化问题的近似解.研究了广义拟近似解的一些性质,获得了广义拟近似有效解的存在性定理.In this paper,we introduce a new concept of generalized quasi-approximate,solution for set-valued optimization problems,intend to unify the other approximate solutions mentioned in this paper.Further,we study some properties of generalized quasi-approximate solution and obtain the existence theory for generalized quasi-approximate efficient solution.

关 键 词：集值优化 广义拟近似解 存在性定理 

分 类 号：O221.6[理学—运筹学与控制论]