General Comparison Principle for Variational-Hemivariational Inequalities [PDF]
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Carl Siegfried, Winkert Patrick
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A Variational-Hemivariational Inequality in Contact Mechanics
This chapter deals with a new mathematical model for the frictional contact between an elastic body and a rigid foundation covered by a deformable layer made of soft material. We study the model in the form of a variational-hemivariational inequality for the displacement field.
Sofonea, Mircea +2 more
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Existence of a Generalized Solution for the Fractional Contact Problem
In this paper, we take into consideration the mathematical analysis of time‐dependent quasistatic processes involving the contact between a solid body and an extremely rigid structure, referred to as a foundation. It is assumed that the constitutive law is fractional long‐memory viscoelastic.
Leila Ait kaki +4 more
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Global Attractor for Second‐Order Nonlinear Evolution Differential Inclusions
In this paper, we address the model of global attractor formulated in the form of evolution differential inclusions with second order in Banach spaces. Firstly, based on the fixed point theorem, the existence result of mild solutions is deduced. Then, by implementing the measure of noncompactness, the existence of global attractor associated with m ...
Guangwang Su +2 more
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On the Hadamard Well‐Posedness of Generalized Mixed Variational Inequalities in Banach Spaces
We introduce a new concept of Hadamard well‐posedness of a generalized mixed variational inequality in a Banach space. The relations between the Levitin–Polyak well‐posedness and Hadamard well‐posedness for a generalized mixed variational inequality are studied.
Lu-Chuan Ceng +6 more
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Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets
In this paper, we study a class of constrained variational-hemivariational inequality problems with nonconvex sets which are star-shaped with respect to a certain ball in a reflexive Banach space.
Stanisław Migórski, Long Fengzhen
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On convergence of solutions to variational–hemivariational inequalities [PDF]
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Zeng, Biao +2 more
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Differential variational-hemivariational inequalities: existence, uniqueness, stability, and convergence [PDF]
The goal of this paper is to study a comprehensive systemcalled differential variational–hemivariational inequality which is com-posed of a nonlinear evolution equation and a time-dependentvariational–hemivariational inequality in Banach spaces ...
Tang, Guo-ji +3 more
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Tykhonov well-posedness of split problems
In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu +2 more
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Existence for a quasistatic variational-hemivariational inequality
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Peng, Zijia, Ma, Cuiming, Liu, Zhonghui
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