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Variational-Hemivariational Inequalities with Applications
Sofonea, Mircea, Migórski, Stanisław
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New Perturbed Proximal Point Algorithms for Set-valued Quasi Variational Inclusions
In this paper, by using some new and innovative techniques, some perturbed iterative algorithms for solving generalized set-valued variational inclusions are suggested and analyzed.
Li, Rong, Shi, Chaofeng
core
Generalized Variational-hemivariational Inequalities in Fuzzy Environment
Zeng, Shengda +3 more
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Existence for a quasistatic variational-hemivariational inequality
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Zijia Peng, Zhonghui Liu
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A Revisit of Elliptic Variational-Hemivariational Inequalities
In this paper, we provide an alternative approach to establish the solution existence and uniqueness for elliptic variational-hemivariational inequalities.
Weimin Han
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Singular Perturbations of Variational-Hemivariational Inequalities
SIAM Journal on Mathematical Analysis, 2020Let $V_i$, $i=0,1$, be a reflexive Banach space and $K_i$ be a closed and convex subset of $V_i$. It is assumed that $V_1$ is continuously and densely embedded in $V_0$, and $K_1$ is the closure of $K_0$ in $V_0$. Two operators $A_i:V_i\to V_i^*$ are introduced such that \[ \|A_i u-A_i v\|_{V_i^*}\leq L_i \|u-v\|_{V_i},\forall u,v\in V_i\,.
Weimin Han
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The main purpose of this paper is threefold. One is to study the existence and convergence problem of solutions for a class of generalized mixed quasi-variational hemivariational inequalities.
Shih-Sen Chang, Lin Wang
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This paper is devoted to numerical analysis of a new class of elliptic variational–hemivariational inequalities in the study of a family of contact problems for elastic ideally locking materials.
Mikael Barboteu +2 more
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On the optimal control of variational–hemivariational inequalities
The present paper represents a continuation of our previous one. There, a continuous dependence result for the solution of an elliptic variational-hemivariational inequality was obtained and then used to prove the existence of optimal pairs for two associated optimal control problems.
Yi-Bin Xiao, Mircea Sofonea
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Analysis of a general dynamic history-dependent variational–hemivariational inequality
International audienceThis paper is devoted to the study of a general dynamic variational–hemivariational inequality with history-dependent operators. These operators appear in a convex potential and in a locally Lipschitz superpotential.
Weimin Han +2 more
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