数学物理学报(英文版) ›› 2005, Vol. 25 ›› Issue (1): 152-160.

• 论文 • 上一篇    下一篇

SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION WITH SET-VALUED FUNCTIONS

徐义红,刘三阳   

  1. Department of Mathematics, Nanchang University;Department of Applied Mathematics, Xidian University
  • 出版日期:2005-01-20 发布日期:2005-01-20
  • 基金资助:

    This research was supported by the National Natural Science Foundation of China
    (10261006), the Natural Science Foundation of Jiangxi Province (0412013) and the Basic Theory Foundation of
    Nanchang University

SUPER EFFICIENCY IN THE NEARLY CONE-SUBCONVEXLIKE VECTOR OPTIMIZATION
WITH SET-VALUED FUNCTIONS

 XU Xi-Gong, LIU San-Yang   

  • Online:2005-01-20 Published:2005-01-20
  • Supported by:

    This research was supported by the National Natural Science Foundation of China
    (10261006), the Natural Science Foundation of Jiangxi Province (0412013) and the Basic Theory Foundation of
    Nanchang University

摘要:

Some properties for convex cones are discussed, which are used to obtain an
equivalent condition and another important property for nearly cone-subconvexlike set-
valued functions. Under the nearly cone-subconvexlikeness, some characterizations of the
super efficiency are given in terms of scalarization and Lagrangian multipliers. Related
results are generalized.

Abstract:

Some properties for convex cones are discussed, which are used to obtain an
equivalent condition and another important property for nearly cone-subconvexlike set-
valued functions. Under the nearly cone-subconvexlikeness, some characterizations of the
super efficiency are given in terms of scalarization and Lagrangian multipliers. Related
results are generalized.

Key words: Nearly cone-subconvexlikeness;convex cones;super efficiency;scalarization;Lagrangian multipliers

中图分类号: 

  • 90C