Error analysis of approximate solutions to parametric vector quasiequilibrium problems

被引：16
|
作者：
Chen, C. R. [1 ]
Li, S. J. [1 ]
Zeng, J. [1 ]
Li, X. B. [1 ]
机构：
[1] Chongqing Univ, Coll Math & Sci, Chongqing 400030, Peoples R China
来源：
OPTIMIZATION LETTERS | 2011年 / 5卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Perturbation analysis; Error bound; Parametric vector quasiequilibrium problems; Approximate solutions; Holder/Lipschitz continuity; HOLDER CONTINUITY; SENSITIVITY-ANALYSIS; SOLUTION SET; PERTURBATION ANALYSIS; LOWER SEMICONTINUITY; SOLUTION MAPPINGS; STABILITY; BOUNDS;
D O I：
10.1007/s11590-010-0192-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 give some results on error estimates of approximate solutions to parametric vector quasiequilibrium problems in metric linear spaces. Under some special cases, the error estimates are equivalent to Holder stability or Lipschitz stability of the set-valued solution map at a given point. An application to variational inequalities is also presented.
引用
收藏
页码：85 / 98
页数：14
相关论文
共 50 条
  • [1] Error analysis of approximate solutions to parametric vector quasiequilibrium problems
    C. R. Chen
    S. J. Li
    J. Zeng
    X. B. Li
    [J]. Optimization Letters, 2011, 5 : 85 - 98
  • [2] Holder Continuity of Solutions to Parametric Generalized Vector Quasiequilibrium Problems
    Peng, Z. Y.
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [3] Approximate solutions of quasiequilibrium problems in Banach spaces
    Castellani, M.
    Giuli, M.
    [J]. JOURNAL OF GLOBAL OPTIMIZATION, 2016, 64 (03) : 615 - 620
  • [4] Approximate solutions of quasiequilibrium problems in Banach spaces
    M. Castellani
    M. Giuli
    [J]. Journal of Global Optimization, 2016, 64 : 615 - 620
  • [5] Stability analysis for vector quasiequilibrium problems
    Fan, Xiaodong
    Cheng, Caozong
    Wang, Haijun
    [J]. POSITIVITY, 2013, 17 (03) : 365 - 379
  • [6] Stability analysis for vector quasiequilibrium problems
    Xiaodong Fan
    Caozong Cheng
    Haijun Wang
    [J]. Positivity, 2013, 17 : 365 - 379
  • [7] Semicontinuity of the solution set of parametric multivalued vector quasiequilibrium problems
    Anh, LQ
    Khanh, PQ
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2004, 294 (02) : 699 - 711
  • [8] On the stability of solution mapping for parametric generalized vector quasiequilibrium problems
    Zhong, Ren-you
    Huang, Nan-jing
    [J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2012, 63 (04) : 807 - 815
  • [9] Upper Semicontinuity of Solution Mappings to Parametric Generalized Vector Quasiequilibrium Problems
    Shan, Shu-qiang
    Han, Yu
    Huang, Nan-jing
    [J]. JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [10] On well-posedness for parametric vector quasiequilibrium problems with moving cones
    Lam Quoc Anh
    Dinh Vinh Hien
    [J]. APPLICATIONS OF MATHEMATICS, 2016, 61 (06) : 651 - 668
12345