Levitin-Polyak well-posedness of constrained vector optimization problems

被引：52
|
作者：
Huang, X. X. [1 ]
Yang, X. Q.
机构：
[1] Fudan Univ, Sch Management, Shanghai 200433, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
constrained vector optimization; minimizing sequence; (generalized) Levitin-Polyak well-posedness; penalty type methods;
D O I：
10.1007/s10898-006-9050-z
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：
In this paper, we consider Levitin-Polyak type well-posedness for a general constrained vector optimization problem. We introduce several types of (generalized) Levitin-Polyak well-posednesses. Criteria and characterizations for these types of well-posednesses are given. Relations among these types of well-posedness are investigated. Finally, we consider convergence of a class of penalty methods under the assumption of a type of generalized Levitin-Polyak well-posedness.
引用
收藏
页码：287 / 304
页数：18
相关论文
共 50 条
  • [1] Levitin-Polyak well-posedness for constrained quasiconvex vector optimization problems
    Lalitha, C. S.
    Chatterjee, Prashanto
    JOURNAL OF GLOBAL OPTIMIZATION, 2014, 59 (01) : 191 - 205
  • [2] Levitin-Polyak well-posedness of vector equilibrium problems
    Li, S. J.
    Li, M. H.
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 2009, 69 (01) : 125 - 140
  • [3] Further study on the Levitin-Polyak well-posedness of constrained convex vector optimization problems
    Huang, X. X.
    Yang, X. Q.
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (03) : 1341 - 1347
  • [4] Generalized Levitin-Polyak well-posedness in constrained optimization
    Huang, X. X.
    Yang, X. Q.
    SIAM JOURNAL ON OPTIMIZATION, 2006, 17 (01) : 243 - 258
  • [5] 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
  • [6] Levitin–Polyak well-posedness of constrained vector optimization problems
    X. X. Huang
    X. Q. Yang
    Journal of Global Optimization, 2007, 37 : 287 - 304
  • [7] Levitin-Polyak well-posedness for vector optimization problems in linear spaces
    Lam Quoc Anh
    Nguyen Huu Danh
    Tran Ngoc Tam
    OPTIMIZATION, 2023, 72 (01) : 9 - 35
  • [8] Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
    Jian-Wen Peng
    Yan Wang
    Lai-Jun Zhao
    Fixed Point Theory and Applications, 2009
  • [9] Generalized Levitin-Polyak Well-Posedness of Vector Equilibrium Problems
    Peng, Jian-Wen
    Wang, Yan
    Zhao, Lai-Jun
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [10] LEVITIN-POLYAK WELL-POSEDNESS OF GENERALIZED VECTOR EQUILIBRIUM PROBLEMS
    Peng, Jian-Wen
    Wang, Yan
    Wu, Soon-Yi
    TAIWANESE JOURNAL OF MATHEMATICS, 2011, 15 (05): : 2311 - 2330
12345