Regularization for a class of quasi-variational-hemivariational inequalities. (February 2023)

• Record Type: Journal Article
• Authors: Cai, Dong-ling; Xiao, Yi-bin
• Is Part Of: Nonlinear analysis. Volume 69(2023)
• Publication Date: 2023-02
• Subjects: Quasi-variational–hemivariational inequality -- Fixed point theorem -- Pseudomonotone -- Regularization -- Locking material; Nonlinear functional analysis -- Periodicals; Analyse fonctionnelle non linéaire -- Périodiques; Nonlinear functional analysis; Periodicals; 515.7248
• DOI: 10.1016/j.nonrwa.2022.103709
• Languages: English
• ISSNs: 1468-1218

Abstract

Abstract: The aim of the present paper is to study the solvability and regularization for a class of multivalued quasi-variational–hemivariational inequalities in reflexive Banach spaces. By applying the Kluge fixed point theorem and the Minty technique, we prove the solvability of the considered multivalued quasi-variational–hemivariational inequality, based on which some convergence results are obtained by introducing its regularization problem with the help of regularization operator. The applicability of the obtained abstract results is established by a mathematical model of a frictional contact problem with a class of elastic material, where the existence and stability results for the weak solution of contact problem are studied.