On differential properties of approximate optimal solutions in parametric semi-infinite programming

被引：0
作者：
Levitin, ES [1 ]
机构：
[1] Russian Acad Sci, Inst Syst Anal, Moscow 117901, Russia
来源：
RECENT ADVANCES IN OPTIMIZATION | 1997年 / 452卷
关键词：
non-smooth optimization; parametric optimization; perturbation theory; semi-infinite optimization; sufficient conditions of first- and second-order;
D O I：
暂无
中图分类号：
F [经济];
学科分类号：
02 ;
摘要：
A parametric optimization problem is considered in which the objective and a part of the restrictions are max-functions and a part of the constraints are not given functionally but independent of a parameter. Lipschitzian properties and differential expansions of the approximate optimal solutions of the perturbed problems are established in case the set of optimal solutions of the unperturbed problem contains non-isolated points.
引用
收藏
页码：168 / 182
页数：15
相关论文
共 25 条
  • [1] [Anonymous], 1994, STABLE METHODS ILL P
  • [2] STABILITY IN MATHEMATICAL-PROGRAMMING WITH NONDIFFERENTIABLE DATA
    AUSLENDER, A
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1984, 22 (02) : 239 - 254
  • [3] BENTAL A, 1979, LECT NOTES CONTROL I, V15, P17
  • [4] DARKHOVSKY VS, 1985, T MMO, V48, P163
  • [5] SEMIINFINITE PROGRAMMING - THEORY, METHODS, AND APPLICATIONS
    HETTICH, R
    KORTANEK, KO
    [J]. SIAM REVIEW, 1993, 35 (03) : 380 - 429
  • [6] HETTICH R, 1994, CONTINUOUS DEFORMATI
  • [7] JIMENEZ M, 1995, J OPER RES, V41, P175
  • [8] SEMI-INFINITE OPTIMIZATION - STRUCTURE AND STABILITY OF THE FEASIBLE SET
    JONGEN, HT
    TWILT, F
    WEBER, GW
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1992, 72 (03) : 529 - 552
  • [9] ONE-PARAMETRIC SEMIINFINITE OPTIMIZATION - ON THE STABILITY OF THE FEASIBLE SET
    JONGEN, HT
    RUCKMANN, JJ
    WEBER, GW
    [J]. SIAM JOURNAL ON OPTIMIZATION, 1994, 4 (03) : 637 - 648
  • [10] KAWASAKI H, 1991, MATH PROGRAM, V49, P213
123