Globally proper saddle point in ic-cone-convexlike set-valued optimization problems

被引：7
|
作者：
Yu, Guo Lin [1 ]
Liu, San Yang [2 ]
机构：
[1] N Univ Ethn, Inst Informat & Syst Sci, Yinchuan 750021, Peoples R China
[2] Xidian Univ, Dept Appl Math, Xian 710071, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2009年 / 25卷 / 11期
关键词：
set-valued map; ic-cone-convexlikeness; globally proper efficiency; saddle point; VECTOR OPTIMIZATION; EFFICIENCY;
D O I：
10.1007/s10114-009-6144-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The existence conditions of globally proper efficient points and a useful property of iccone-convexlike set-valued maps are obtained. Under the assumption of the ic-cone-convexlikeness, the optimality conditions for globally proper efficient solutions are established in terms of Lagrange multipliers. The new concept of globally proper saddle-point for an appropriate set-valued Lagrange map is introduced and used to characterize the globally proper efficient solutions. The results which are obtained in this paper are proven under the conditions that the ordering cone need not to have a nonempty interior.
引用
下载
收藏
页码：1921 / 1928
页数：8
相关论文
共 50 条
  • [1] Globally Proper Saddle Point in Ic-Cone-Convexlike Set-Valued Optimization Problems
    Guo Lin YU Institute of Information and Systems Science
    Acta Mathematica Sinica,English Series, 2009, 25 (11) : 1921 - 1928
  • [2] Globally proper saddle point in ic-cone-convexlike set-valued optimization problems
    Guo Lin Yu
    San Yang Liu
    Acta Mathematica Sinica, English Series, 2009, 25 : 1921 - 1928
  • [3] Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps
    Wei Dong Rong
    Yu Nan Wu
    Mathematical Methods of Operations Research, 1998, 48 : 247 - 258
  • [4] Characterizations of super efficiency in cone-convexlike vector optimization with set-valued maps
    Rong, WD
    Wu, YN
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1998, 48 (02) : 247 - 258
  • [5] NONSMOOTH NEWTON METHODS FOR SET-VALUED SADDLE POINT PROBLEMS
    Graeser, Carsten
    Kornhuber, Ralf
    SIAM JOURNAL ON NUMERICAL ANALYSIS, 2009, 47 (02) : 1251 - 1273
  • [6] SET-VALUED OPTIMIZATION PROBLEMS UNDER CONE CONVEXITY
    Das, K.
    Nahak, C.
    Roy, D.
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2021, 83 (04): : 69 - 82
  • [7] Set-valued optimization problems under cone convexity
    Das, K.
    Nahak, C.
    Roy, D.
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2021, 83 (04): : 69 - 82
  • [8] Strict Efficiency in Vector Optimization with Nearly Convexlike Set-Valued Maps
    Hu, Xiaohong
    Fang, Zhimiao
    Xiong, Yunxuan
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [9] Super efficiency in vector optimization with nearly convexlike set-valued maps
    Mehra, A
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2002, 276 (02) : 815 - 832
  • [10] A characterization of efficient saddle point for set-valued maps
    Tanaka, Tamaki
    Yamada, Syuuji
    Proceedings of the Second International Conference on Game Theory and Applications, 2007, : 183 - 185
12345