近似锥一次类凸集值向量优化问题强有效解的广义鞍点刻画  

STRONG EFFICIENT SOLUTIONS OF NEARLY CONE-SUBCONVEXLIKE SET-VALUED VECTOR OPTIMIZATION PROBLEMS CHARACTERIZED BY GENERALIZED SADDLE POINT

作　　者：余国林[1] 刘三阳[2] 

机构地区：[1]西北第二民族学院信息与计算科学系,宁夏银川750021 [2]西安电子科技大学应用数学系,陕西西安710071

出　　处：《数学杂志》2008年第1期61-66,共6页Journal of Mathematics

基　　金：陕西省自然科学基金项目(2001SL03);西北第二民族学院科学研究项目.

摘　　要：本文研究了近似锥一次类凸集值向量优化强有效解的广义鞍点表示问题.利用择一定理,得到了近似锥-次类凸集值优化问题强有效解为广义鞍点的充分条件和必要条件.所得结果丰富了集值优化理论,并且拓广了广义鞍点的应用.The purpose of this paper is to investigate the representation problems of strong efficient solutions by generalized saddle point in nearly cone-subconvexlike set-valued vector optimization problems. By using the theorem of alternative, we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness. The results enrich the theory of set-valued optimization, and enlarge the application of the generalized saddle point.

关 键 词：近似锥-次类凸 集值映射 强有效性 广义鞍点 

分 类 号：O221.2[理学—运筹学与控制论] O224[理学—数学]