Stability of semi-infinite vector optimization problems without compact constraints

被引：16
作者：
Fan, Xiaodong [1 ,2 ]
Cheng, Caozong [1 ]
Wang, Haijun [1 ]
机构：
[1] Beijing Univ Technol, Dept Math, Beijing 100124, Peoples R China
[2] Bohai Univ, Dept Math, Jinzhou 121013, Liaoning, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2011年 / 74卷 / 06期
关键词：
Stability; Semi-infinite vector optimization; Solution map; Continuity; LINEAR INEQUALITY SYSTEMS; VARIATIONAL ANALYSIS; METRIC REGULARITY; CONTINUITY;
D O I：
10.1016/j.na.2010.11.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the continuity of solution maps for perturbation semi-infinite vector optimization problems without compact constraint sets. The sufficient conditions for lower semicontinuity and upper semicontinuity of solution maps under functional perturbations of both objective functions and constraint sets are established. Some examples are given to analyze the assumptions in the main result. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：2087 / 2093
页数：7
相关论文
共 12 条
  • [1] Metric regularity in convex semi-infinite optimization under canonical perturbations
    Canovas, M. J.
    Klatte, D.
    Lopez, M. A.
    Parra, J.
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2007, 18 (03) : 717 - 732
  • [2] VARIATIONAL ANALYSIS IN SEMI-INFINITE AND INFINITE PROGRAMMING, II: NECESSARY OPTIMALITY CONDITIONS
    Canovas, M. J.
    Lopez, M. A.
    Mordukhovich, B. S.
    Parra, J.
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2010, 20 (06) : 2788 - 2806
  • [3] VARIATIONAL ANALYSIS IN SEMI-INFINITE AND INFINITE PROGRAMMING, I: STABILITY OF LINEAR INEQUALITY SYSTEMS OF FEASIBLE SOLUTIONS
    Canovas, M. J.
    Lopez, M. A.
    Mordukhovich, B. S.
    Parra, J.
    [J]. SIAM JOURNAL ON OPTIMIZATION, 2009, 20 (03) : 1504 - 1526
  • [4] Metric regularity of semi-infinite constraint systems
    Cánovas, MJ
    Dontchev, L
    López, MA
    Parra, J
    [J]. MATHEMATICAL PROGRAMMING, 2005, 104 (2-3) : 329 - 346
  • [5] EXISTENCE AND CONTINUITY OF SOLUTIONS FOR VECTOR OPTIMIZATION
    CHEN, GY
    CRAVEN, BD
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 1994, 81 (03) : 459 - 468
  • [6] Stability of semi-infinite vector optimization problems under functional perturbations
    Chuong, T. D.
    Huy, N. Q.
    Yao, J. C.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2009, 45 (04) : 583 - 595
  • [7] Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems
    Chuong, Thai Doan
    Yao, Jen-Chih
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (12) : 6312 - 6322
  • [8] Stability theory for linear inequality systems - II: Upper semicontinuity of the solution set mapping
    Goberna, MA
    Lopez, MA
    Todorov, MI
    [J]. SIAM JOURNAL ON OPTIMIZATION, 1997, 7 (04) : 1138 - 1151
  • [9] LOPEZ MA, 2001, NONCONVEX OPTIM APPL, V57
  • [10] Sawaragi Y., 1985, THEORY MULTIOBJECTIV
12