On Levitin-Polyak α-well-posedness of perturbed variational-hemivariational inequality

被引:8
|
作者
Virmani, Garima [1 ]
Srivastava, Manjari [1 ]
机构
[1] Univ Delhi, Dept Math, Delhi 110007, India
关键词
47J20; 90C31; 49K40; inclusion problem; approximating sequence; perturbed variational-hemivariatonal inequality; Levitin-Polyak well-posedness by perturbations; metric characterization; OPTIMIZATION PROBLEMS; INCLUSION PROBLEMS;
D O I
10.1080/02331934.2013.840782
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 an extension of well-posedness for a minimization problem to a class of perturbed variational-hemivariational inequalities with perturbations VHVI. We establish some metric characterizations for the Levitin-Polyak (LP) -well-posedness of VHVI and give some conditions under which the above problem is LP -well-posed in the generalized sense. Links are established between the LP well-posedness of VHVI and the corresponding inclusion problem.
引用
收藏
页码:1153 / 1172
页数:20
相关论文
共 50 条
  • [1] Levitin-Polyak well-posedness of variational-hemivariational inequalities
    Hu, Rong
    Huang, Nan-jing
    Sofonea, Mircea
    Xiao, Yi-bin
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2022, 109
  • [2] Levitin-Polyak well-posedness of variational inequalities
    Hu, Rong
    Fang, Ya-ping
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (01) : 373 - 381
  • [3] Levitin-Polyak well-posedness of variational inequality problems with functional constraints
    Huang, X. X.
    Yang, X. Q.
    Zhu, D. L.
    JOURNAL OF GLOBAL OPTIMIZATION, 2009, 44 (02) : 159 - 174
  • [4] Levitin–Polyak well-posedness of variational–hemivariational inequalities
    Hu, Rong
    Huang, Nan-jing
    Sofonea, Mircea
    Xiao, Yi-bin
    Communications in Nonlinear Science and Numerical Simulation, 2022, 109
  • [5] Levitin-Polyak Well-Posedness by Perturbations for the Split Hemivariational Inequality Problem on Hadamard Manifolds
    Vo Minh Tam
    Nguyen Van Hung
    Liu, Zhenhai
    Yao, Jen Chih
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 195 (02) : 684 - 706
  • [6] LEVITIN-POLYAK WELL-POSEDNESS FOR VARIATIONAL INEQUALITIES AND FOR OPTIMIZATION PROBLEMS WITH VARIATIONAL INEQUALITY CONSTRAINTS
    Hu, Rong
    Fang, Ya-Ping
    Huang, Nan-Jing
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2010, 6 (03) : 465 - 481
  • [7] Characterizations of Levitin-Polyak well-posedness by perturbations for the split variational inequality problem
    Hu, Rong
    Fang, Ya-Ping
    OPTIMIZATION, 2016, 65 (09) : 1717 - 1732
  • [8] Levitin-Polyak well-posedness of a generalized mixed variational inequality in Banach spaces
    Li, Xiao-bo
    Xia, Fu-quan
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 2139 - 2153
  • [9] Levitin-Polyak well-posedness in generalized variational inequality problems with functional constraints
    Huang, X. X.
    Yang, X. Q.
    JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION, 2007, 3 (04) : 671 - 684
  • [10] LEVITIN-POLYAK WELL-POSEDNESS OF GENERALIZED VARIATIONAL INEQUALITY WITH GENERALIZED MIXED VARIATIONAL INEQUALITY CONSTRAINT
    Xia, Fu-Quan
    Wen, Ching-Feng
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (10) : 2087 - 2101