Global Optimality Conditions for Optimization Problems

被引：0
|
作者：
Wu, Zhiyou [1 ]
机构：
[1] Univ Karlsruhe, Inst Stat & Math Econ Theory, Karlsruhe, Germany
来源：
OPERATIONS RESEARCH AND ITS APPLICATIONS, PROCEEDINGS | 2008年 / 8卷
关键词：
Global optimization; optimality conditions; abstract convexity;
D O I：
暂无
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
We establish new necessary and sufficient optimality conditions for optimization problems. In particular, we establish tractable optimality conditions for the problems of minimizing a weakly convex or concave function subject to standard constraints, such as box constraints, binary constraints, and simplex constraints. Our main theoretical tool for establishing these optimality conditions is abstract convexity.
引用
收藏
页码：377 / 384
页数：8
相关论文
共 50 条
  • [1] Global optimality conditions for nonlinear optimization problems
    Haitao Zhong
    Mingfa Zheng
    Wei Chen
    Aoyu Zheng
    [J]. Evolutionary Intelligence, 2024, 17 : 291 - 301
  • [2] Global optimality conditions for nonlinear optimization problems
    Zhong, Haitao
    Zheng, Mingfa
    Chen, Wei
    Zheng, Aoyu
    [J]. EVOLUTIONARY INTELLIGENCE, 2024, 17 (01) : 291 - 301
  • [3] Global Optimality Conditions for Some Classes of Optimization Problems
    Wu, Z. Y.
    Rubinov, A. M.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2010, 145 (01) : 164 - 185
  • [4] Global Optimality Conditions for Some Classes of Optimization Problems
    Z. Y. Wu
    A. M. Rubinov
    [J]. Journal of Optimization Theory and Applications, 2010, 145 : 164 - 185
  • [5] Global optimality conditions for quadratic optimization problems with binary constraints
    Beck, A
    Teboulle, M
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2000, 11 (01) : 179 - 188
  • [6] LOCAL AND GLOBAL OPTIMALITY CONDITIONS FOR DC INFINITE OPTIMIZATION PROBLEMS
    Fang, D. H.
    Zhao, X. P.
    [J]. TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (03): : 817 - 834
  • [7] Necessary and sufficient conditions for global optimality of eigenvalue optimization problems
    Y. Kanno
    M. Ohsaki
    [J]. Structural and Multidisciplinary Optimization, 2001, 22 : 248 - 252
  • [8] Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems
    Z. Y. Wu
    Y. J. Yang
    F. S. Bai
    M. Mammadov
    [J]. Journal of Optimization Theory and Applications, 2011, 151 : 241 - 259
  • [9] Second-Order Global Optimality Conditions for Optimization Problems
    X. Q. Yang
    [J]. Journal of Global Optimization, 2004, 30 : 271 - 284
  • [10] Global Optimality Conditions and Optimization Methods for Quadratic Knapsack Problems
    Wu, Z. Y.
    Yang, Y. J.
    Bai, F. S.
    Mammadov, M.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2011, 151 (02) : 241 - 259
12345