ε-strongly Efficient Solutions for Vector Optimization with Set-valued Maps  

作　　者：WANG Qi-liu 

机构地区：[1]College of Sciences, Chongqing Jiaotong Unversity, Chongqing 400074, China [2] College of Mathematics and Science, Chongqing University, Chongqing 400044, China

出　　处：《Chinese Quarterly Journal of Mathematics》2010年第1期104-109,共6页数学季刊（英文版）

基　　金：Foundation item： Supported by the Natural Science Foundation of China（10871216）; Supported by the Natural Science Foundation Project of CQ CSTC（2008BB0346, 2007BB0441）; Supported by the Excellent Young Teachers Program of Chongqing Jiaotong University（EYT08-016） Acknowledgement The author would like to thank the anonymous referee for the valuable remarks that helped considerably to correct and to improve the presentation.

摘　　要：In locally convex Hausdorff topological vector spaces,ε-strongly efficient solutions for vector optimization with set-valued maps are discussed.Firstly,ε-strongly efficient point of set is introduced.Secondly,under the nearly cone-subconvexlike set-valued maps,the theorem of scalarization for vector optimization is obtained.Finally,optimality conditions of ε-strongly efficient solutions for vector optimization with generalized inequality constraints and equality constraints are obtained.

关 键 词：vector optimization ε-strongly efficient point nearly cone-subconvexlike setvalued maps ε-strongly efficient solutions the theorem of scalarization optimality conditions 

分 类 号：O224[理学—运筹学与控制论]