首页 | 本学科首页   官方微博 | 高级检索  
     检索      


Benson Proper Efficiency in the Vector Optimization of Set-Valued Maps
Authors:Z F Li
Institution:(1) Department of Mathematics, University of Inner Mongolia, Hohhot, Inner Mongolia, China;(2) Present address: Institute of Systems Science, Chinese Academy of Sciences, Beijing, China
Abstract:This paper extends the concept of cone subconvexlikeness of single-valued maps to set-valued maps and presents several equivalent characterizations and an alternative theorem for cone-subconvexlike set-valued maps. The concept and results are then applied to study the Benson proper efficiency for a vector optimization problem with set-valued maps in topological vector spaces. Two scalarization theorems and two Lagrange multiplier theorems are established. After introducing the new concept of proper saddle point for an appropriate set-valued Lagrange map, we use it to characterize the Benson proper efficiency. Lagrange duality theorems are also obtained
Keywords:Set-valued maps  vector optimization  Benson proper efficiency  cone subconvexlikeness  proper saddle points
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号