Results 11 to 20 of about 170 (136)
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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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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A System of Generalized Variational-Hemivariational Inequalities with Set-Valued Mappings
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 Neumann hemivariational inequalities [PDF]
Abstract and Applied Analysis, 2002 We derive a nontrivial solution for a Neumann noncoercive hemivariational inequality using the critical point theory for locally Lipschitz functionals. We use the Mountain-Pass theorem due to Chang (1981).
Halidias Nikolaos
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Abstract and Applied Analysis, 2014 This paper is devoted to the various coercivity conditions in order to guarantee existence of solutions and boundedness of the solution set for the variational-hemivariational inequalities involving upper semicontinuous operators.
Guo-ji Tang +2 more
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Hemivariational inequalities on graphs
Computational and Applied Mathematics, 2022 In this paper, a new class of hemivariational inequalities is introduced. It concerns Laplace operator on locally finite graphs together with multivalued nonmonotone nonlinearities expressed in terms of Clarke's subdifferential. First of all, we state and prove some results on the subdifferentiability of nonconvex functionals defined on graphs ...
Nouhayla Ait Oussaid +4 more
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Well-posedness analysis of a stationary Navier–Stokes hemivariational inequality
Fixed Point Theory and Algorithms for Sciences and Engineering, 2021 This paper provides a well-posedness analysis for a hemivariational inequality of the stationary Navier-Stokes equations by arguments of convex minimization and the Banach fixed point.
Min Ling, Weimin Han
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Existence of a Generalized Solution for the Fractional Contact Problem
Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023 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
Complexity, Volume 2021, Issue 1, 2021., 2021 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
Journal of Mathematics, Volume 2021, Issue 1, 2021., 2021 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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