New characterizations of weak sharp minima

被引：0
|
作者：
Jinchuan Zhou
Changyu Wang
机构：
[1] Shandong University of Technology,Department of Mathematics, School of Science
[2] Qufu Normal University,Institute of Operations Research
来源：
Optimization Letters | 2012年 / 6卷
关键词：
Weak sharp minima; Error bounds; Conjugate functions;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study the concept of weak sharp minima by using conjugate functions. Not only some well-known results can be obtained in this unified way, but also new characterizations are developed. Finally, under rather weak conditions, we establish the finite termination property for convex programming and variational inequality problem, respectively.
引用
收藏
页码：1773 / 1785
页数：12
相关论文
共 32 条
  • [21] Weak sharp minima for semi-infinite optimization problems with applications
    Zheng, Xi Yin
    Yang, Xiao Qi
    SIAM JOURNAL ON OPTIMIZATION, 2007, 18 (02) : 573 - 588
  • [22] Weak sharp minima for piecewise linear multiobjective optimization in normed spaces
    Zheng, Xi Yin
    Yang, Xiao Qi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (12) : 3771 - 3779
  • [23] Global weak sharp minima for convex (semi-)infinite optimization problems
    Zheng, Xi Yin
    Yang, Xiao Qi
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2008, 348 (02) : 1021 - 1028
  • [24] WEAK SHARP MINIMA FOR CONVEX INFINITE OPTIMIZATION PROBLEMS IN NORMED LINEAR SPACES
    Li, Chong
    Meng, Li
    Peng, Lihui
    Hu, Yaohua
    Yao, Jen-Chih
    SIAM JOURNAL ON OPTIMIZATION, 2018, 28 (03) : 1999 - 2021
  • [25] Generalized weak sharp minima in cone-constrained convex optimization with applications
    Luo, H. L.
    Huang, X. X.
    Peng, J. W.
    COMPUTATIONAL OPTIMIZATION AND APPLICATIONS, 2012, 53 (03) : 807 - 821
  • [26] Weak sharp minima for set-valued vector variational inequalities with an application
    Li, J.
    Huang, N. J.
    Yang, X. Q.
    EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 2010, 205 (02) : 262 - 272
  • [27] The global weak sharp minima with explicit exponents in polynomial vector optimization problems
    Tien Son Pham
    Xuan Duc Ha Truong
    Yao, Jen-Chih
    POSITIVITY, 2018, 22 (01) : 219 - 244
  • [28] GENERALIZED WEAK SHARP MINIMA AND THE EXISTENCE OF STRONG LAGRANGIAN MULTIPLIERS IN CONIC CONVEX OPTIMIZATION
    Luo, Honglin
    Peng, Jianwen
    Yao, Jen-Chih
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (09) : 1791 - 1811
  • [29] Strong KKT conditions and weak sharp solutions in convex-composite optimization
    Zheng, Xi Yin
    Ng, Kung Fu
    MATHEMATICAL PROGRAMMING, 2011, 126 (02) : 259 - 279
  • [30] New characterizations of Hoffman constants for systems of linear constraints
    Pena, Javier
    Vera, Juan C.
    Zuluaga, Luis F.
    MATHEMATICAL PROGRAMMING, 2021, 187 (1-2) : 79 - 109
1234