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Generalized Variational-hemivariational Inequalities in Fuzzy Environment
, 2021 Zeng, Shengda +3 more
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Singular Perturbations of Variational-Hemivariational Inequalities
SIAM Journal on Mathematical Analysis, 2020This paper is devoted to an analysis of singular perturbations of inequality problems. For a general variational-hemivariational inequality, it is shown rigorously that under appropriate conditions, as the singular perturbation parameter approaches zero, the solution of the singularly perturbed problem converges to the solution of the limiting problem.
Weimin Han
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On a class of nonlinear variational–hemivariational inequalities
Applicable Analysis, 2004 A three critical points theorem for nondifferentiable functions is pointed out and an existence result of multiple solutions for a Neumann elliptic variational–hemivariational inequality involving the p-laplacian is established. As an application, a Neumann problem for elliptic equations with discontinuous nonlinearities is studied.
BONANNO, Gabriele, CANDITO P.
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Well-Posedness for a Class of Variational–Hemivariational Inequalities With Perturbations
Journal of Optimization Theory and Applications, 2011zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi-Bin Xiao, Nan-jing Huang
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A Class of Variational-Hemivariational Inequalities With Applications to Frictional Contact Problems
SIAM Journal on Mathematical Analysis, 2014 International audienceA class of variational-hemivariational inequalities is studied in this paper. An inequality in the class involves two nonlinear operators and two nondfferentiable functionals, of which at least one is convex.
Weimin Han +2 more
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Applied Mathematics Letters, 2020 Variational–hemivariational inequalities and hemivariational inequalities form a powerful mathematical tool in modeling and studying problems in science and engineering where non-smooth, non-monotone and multi-valued relations among different physical ...
Weimin Han +2 more
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Semicoercive variational hemivariational inequalities
Journal of Global Optimization, 1995The authors have introduced a concept of recession function associated to the Clarke generalized directional derivative of a locally Lipschitz function. Using this concept, some new necessary and sufficient conditions for the existence of a general hemivariational inequality problem are given.
Daniel Goeleven, Michel Théra
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Existence theorems of the variational-hemivariational inequalities
Journal of Global Optimization, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Guo-ji Tang, Nan-Jing Huang
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"A Fixed Point Approach of Variational-Hemivariational Inequalities"
Carpathian Journal of Mathematics, 2022"In this paper we provide a new approach in the study of a variational-hemivariational inequal- ity in Hilbert space, based on the theory of maximal monotone operators and the Banach fixed point theorem. First, we introduce the inequality problem we are interested in, list the assumptions on the data and show that it is governed by a multivalued ...
HU, RONG, SOFONEA, MIRCEA, XIAO, YI-BIN
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Variational, Hemivariational and Variational-Hemivariational Inequalities: Existence Results
2003The celebrated Hartman-Stampacchia theorem (see [6], Lemma 3.1, or [9], Theorem I.3.1) asserts that if V is a finite dimensional Banach space, K ⊂ V is non-empty, compact and convex, A : K → V* is continuous, then there exists u ∈ K such that, for every v ∈ K, $$\langle Au,v - u\rangle \geqslant 0.$$ (6.1)
D. Motreanu, V. Rădulescu
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