Unbounded perturbation of an evolution hemivariational inequality

被引：0
|
作者：
Liu, Zhenhai [1 ,2 ]
Bin, Chen [3 ]
Liu, Xiake [3 ]
Timoshin, Sergey A. [4 ]
机构：
[1] Yulin Normal Univ, Sch Math & Stat, Yulin 537000, Peoples R China
[2] Guangxi Minzu Univ, Guangxi Key Lab Univ Optimizat Control & Engn Calc, Nanning 530006, Guangxi, Peoples R China
[3] Huaqiao Univ, Sch Math Sci, Quanzhou 362021, Peoples R China
[4] Xian Jiaotong Liverpool Univ, Sch Math & Phys, Suzhou 215123, Jiangsu, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2024年 / 77卷
基金：
中国国家自然科学基金;
关键词：
Evolution subdifferential inclusion; Unbounded perturbation; Hemivariational inequality; Truncated Lipschitz condition; SUBDIFFERENTIAL INCLUSIONS; RELAXATION; SYSTEMS; THEOREM;
D O I：
10.1016/j.nonrwa.2024.104070
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a perturbed hemivariational inequality. The perturbation is a multivalued mapping the values thereof are not assumed to be convex or bounded. We prove the existence of a solution to our problem and establish a relaxation - approximation result for it through the use of a localized version of Hausdorff-Lipschitzness adapted to the unbounded case.
引用
收藏
页数：9
相关论文
共 50 条
  • [21] Evolution hemivariational inequality for a class of dynamic viscoelastic nonmonotone frictional contact problems
    Migorski, S.
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2006, 52 (05) : 677 - 698
  • [22] Boundary hemivariational inequality of parabolic type
    Migórski, S
    Ochal, A
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2004, 57 (04) : 579 - 596
  • [23] On a Generalized Hemivariational Inequality on Banach Spaces
    Croicu, Ana-Maria
    Kolumban, Jozsef
    RESULTS IN MATHEMATICS, 2018, 73 (02)
  • [24] On a Generalized Hemivariational Inequality on Banach Spaces
    Ana-Maria Croicu
    József Kolumbán
    Results in Mathematics, 2018, 73
  • [25] A HEMIVARIATIONAL-LIKE INEQUALITY WITH APPLICATIONS
    Lee, Byung-Soo
    Salahuddin
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (01) : 141 - 150
  • [26] On weak solution of a hyperbolic hemivariational inequality
    Guo, XM
    3RD INTERNATIONAL CONFERENCE ON NONLINEAR MECHANICS, 1998, : 801 - 803
  • [27] Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality
    Yibin Xiao
    Guoji Tang
    Xianjun Long
    Nanjing Huang
    Applied Mathematics and Mechanics, 2015, 36 : 1371 - 1382
  • [28] Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality
    Xiao, Yibin
    Tang, Guoji
    Long, Xianjun
    Huang, Nanjing
    APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION, 2015, 36 (10) : 1371 - 1382
  • [29] Convergence analysis on Browder-Tikhonov regularization for second-order evolution hemivariational inequality
    Yibin XIAO
    Guoji TANG
    Xianjun LONG
    Nanjing HUANG
    Applied Mathematics and Mechanics(English Edition), 2015, 36 (10) : 1371 - 1382
  • [30] Second order hemivariational inequality driven by evolution differential inclusion to a dynamic thermoviscoelastic contact problem *
    Jiao, Jinkai
    Liu, Zhenhai
    Migorski, Stanislaw
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2024, 451
12345