On the existence of solutions for some kind of mixed evolutionary variational-hemivariational inequality problems
Applicable Nonlinear Analysis, Volume 1, Issue 2, December 2024, Pages: 187–205
S. S. CHANG
Center for General Education, China Medical University Taichung-40402, Taiwan, China
SALAHUDDIN
Department of Mathematics, Jazan University Jazan-45142, Saudi Arabia
X. R. LI
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
A. A. H. AHMADINI
Department of Mathematics, Jazan University Jazan-45142, Saudi Arabia
M. LIU
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
J. F. TANG
Department of Mathematics, Yibin University, Yibin, Sichuan 644007, China
Abstract
This paper discusses the mixed evolutionary variational-hemivariational inequality problem, which incorporates a set of constraints and history-dependent operators. We utilized a mixed equilibrium formulation with appropriate functions and a fixed-point principle for history-dependent operators to prove the existence and uniqueness of solutions. As an application to demonstrate the peculiar weak solution for a viscoelastic frictional contact problem that involves the unilateral signorini type condition for the normal velocity together with non-monotone normal damped response conditions and the Coulomb law of dry friction that friction bounds depend on the amount of accumulated slip.
Cite this Article as
S. S. Chang, Salahuddin, X. R. Li, A. A. H. Ahmadini, M. Liu, and J. F. Tang, On the existence of solutions for some kind of mixed evolutionary variational-hemivariational inequality problems, Applicable Nonlinear Analysis, 1(2), 187–205, 2024