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
  • [1] New characterizations of weak sharp minima
    Zhou, Jinchuan
    Wang, Changyu
    OPTIMIZATION LETTERS, 2012, 6 (08) : 1773 - 1785
  • [2] Characterizations of weak sharp minima for lower-C1 functions
    Rahmo, El Desouky
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (02) : 619 - 627
  • [3] Equivalent properties of global weak sharp minima with applications
    Zhou, Jinchuan
    Xu, Xiuhua
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2011,
  • [4] Equivalent properties of global weak sharp minima with applications
    Jinchuan Zhou
    Xiuhua Xu
    Journal of Inequalities and Applications, 2011
  • [5] WEAK SHARP MINIMA ON RIEMANNIAN MANIFOLDS
    Li, Chong
    Mordukhovich, Boris S.
    Wang, Jinhua
    Yao, Jen-Chih
    SIAM JOURNAL ON OPTIMIZATION, 2011, 21 (04) : 1523 - 1560
  • [6] Complete characterizations of local weak sharp minima with applications to semi-infinite optimization and complementarity
    Zhou, Jinchuan
    Mordukhovich, Boris S.
    Xiu, Naihua
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (03) : 1700 - 1718
  • [7] Stability properties of weak sharp minima
    Studniarski, M
    Taha, AWA
    CONTROL AND CYBERNETICS, 2003, 32 (02): : 351 - 359
  • [8] Global weak sharp minima on Banach spaces
    Ng, KF
    Zheng, XY
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2003, 41 (06) : 1868 - 1885
  • [9] Weak sharp minima revisited Part I: basic theory
    Burke, JV
    Deng, S
    CONTROL AND CYBERNETICS, 2002, 31 (03): : 439 - 469
  • [10] Weak sharp minima in multicriteria linear programming
    Deng, S
    Yang, XQ
    SIAM JOURNAL ON OPTIMIZATION, 2005, 15 (02) : 456 - 460