Extended well-posedness of optimization problems

被引：143
|
作者：
Zolezzi, T
机构：
[1] Dipartimento di Matematica, Universita' di Genova, Genova
来源：
JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 1996年 / 91卷 / 01期
关键词：
well-posed optimization problems; asymptotically minimizing sequences; stable optimization problems;
D O I：
10.1007/BF02192292
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：
The well-posedness concept introduced in Ref. 1 for global optimization problems with a unique solution is generalized here to problems with many minimizers, under the name of extended well-posedness. It is shown that this new property can be characterized by metric criteria, which parallel to some extent those known about generalized Tikhonov well-posedness.
引用
收藏
页码：257 / 266
页数：10
相关论文
共 50 条
  • [21] Scalarization and pointwise well-posedness in vector optimization problems
    Gang Xiao
    Hong Xiao
    Sanyang Liu
    Journal of Global Optimization, 2011, 49 : 561 - 574
  • [22] On well-posedness and conditioning in optimization
    Zolezzi, T
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 2004, 84 (07): : 435 - 443
  • [23] GENERIC WELL-POSEDNESS FOR PERTURBED OPTIMIZATION PROBLEMS IN BANACH SPACES
    Peng, L. H.
    Li, C.
    Yao, J. C.
    TAIWANESE JOURNAL OF MATHEMATICS, 2010, 14 (04): : 1351 - 1369
  • [24] Generic Existence of Solutions and Generic Well-Posedness of Optimization Problems
    Kenderov, P. S.
    Revalski, J. P.
    COMPUTATIONAL AND ANALYTICAL MATHEMATICS: IN HONOR OF JONATHAN BORWEIN'S 60TH BIRTHDAY, 2013, 50 : 445 - 453
  • [25] Well-posedness for the optimistic counterpart of uncertain vector optimization problems
    L. Q. Anh
    T. Q. Duy
    D. V. Hien
    Annals of Operations Research, 2020, 295 : 517 - 533
  • [26] CONSTRAINED CONVEX-OPTIMIZATION PROBLEMS - WELL-POSEDNESS AND STABILITY
    KONSULOVA, AS
    REVALSKI, JP
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 1994, 15 (7-8) : 889 - 907
  • [27] Generalized Hadamard well-posedness for infinite vector optimization problems
    Peng, Z. Y.
    Long, X. J.
    Wang, X. F.
    Zhao, Y. B.
    OPTIMIZATION, 2017, 66 (10) : 1563 - 1575
  • [28] LEVITIN-POLYAK WELL-POSEDNESS FOR SET OPTIMIZATION PROBLEMS
    Ansari, Qamrul Hasan
    Hussain, Nasir
    Sharma, Pradeep Kumar
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (07) : 1353 - 1371
  • [29] Robust efficiency and well-posedness in uncertain vector optimization problems
    Tran Quoc Duy
    OPTIMIZATION, 2023, 72 (04) : 937 - 955
  • [30] AN EQUIVALENCE RELATION BETWEEN OPTIMIZATION PROBLEMS CONNECTED WITH THE WELL-POSEDNESS
    REVALSKI, JP
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 168 (02) : 469 - 482
12345