Metric characterizations for well-posedness of split hemivariational inequalities. [PDF]
J Inequal Appl, 2018 In this paper, we generalize the concept of well-posedness to a class of split hemivariational inequalities. By imposing very mild assumptions on involved operators, we establish some metric characterizations of the well-posedness for the split ...
Shu QY, Hu R, Xiao YB.
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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings [PDF]
Journal of Applied Mathematics, 2013 By using surjectivity theorem of pseudomonotone and coercive operators rather than the KKM theorem and fixed point theorem used in recent literatures, we obtain some conditions under which a system of generalized variational-hemivariational inequalities ...
Zhi-bin Liu +3 more
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On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces. [PDF]
J Inequal Appl, 2018 The stability for a class of generalized Minty variational-hemivariational inequalities has been considered in reflexive Banach spaces. We demonstrate the equivalent characterizations of the generalized Minty variational-hemivariational inequality.
Ceng LC, Agarwal RP, Yao JC, Yao Y.
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Partial Differential Hemivariational Inequalities
Advances in Nonlinear Analysis, 2018 The aim of this paper is to introduce and study a new class of problems called partial differential hemivariational inequalities that combines evolution equations and hemivariational inequalities.
Zhenhai Liu +2 more
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Elliptic variational hemivariational inequalities
Applied Mathematics Letters, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liu, Zhen-Hai, Zhen-Hai Liu
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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities
Journal of Applied Mathematics, 2012 We generalize the concept of well-posedness by perturbations for optimization problem to a class of variational-hemivariational inequalities. We establish some metric characterizations of the well-posedness by perturbations for the variational ...
Shu Lv +3 more
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Nonlocal elliptic hemivariational inequalities [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2017 This paper is devoted to the existence of solutions for the hemivariational inequalities involving fractional Laplace operator by means of the well-known surjectivity result for pseudomonotone mappings.
Zhenhai Liu, Jinggang Tan
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Monotonicity Arguments for Variational–Hemivariational Inequalities in Hilbert Spaces
Axioms, 2022 We consider a variational–hemivariational inequality in a real Hilbert space, which depends on two parameters. We prove that the inequality is governed by a maximal monotone operator, then we deduce various existence, uniqueness and equivalence results ...
Mircea Sofonea
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Existence and comparison results for quasilinear evolution hemivariational inequalities [PDF]
Electronic Journal of Differential Equations, 2004 We generalize the sub-supersolution method known for weak solutions of single and multivalued nonlinear parabolic problems to quasilinear evolution hemivariational inequalities.
Siegfried Carl +2 more
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Hidden maximal monotonicity in evolutionary variational-hemivariational inequalities [PDF]
Nonlinear Analysis, 2021 In this paper, we propose a new methodology to study evolutionary variational-hemivariational inequalities based on the theory of evolution equations governed by maximal monotone operators. More precisely, the proposed approach, based on a hidden maximal
Emilio Vilches, Shengda Zeng
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