Metric characterizations for well-posedness of split hemivariational inequalities [PDF]
Journal of Inequalities and Applications, 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 ...
Qiao-yuan Shu, Rong Hu, Yi-bin Xiao
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RETRACTED ARTICLE: On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces [PDF]
Journal of Inequalities and Applications, 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.
Lu-Chuan Ceng +3 more
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Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)-Laplacian [PDF]
The Scientific World Journal, 2013 A class of nonlinear Neumann problems driven by p(x)-Laplacian with a nonsmooth locally Lipschitz potential (hemivariational inequality) was considered. The approach used in this paper is the variational method for locally Lipschitz functions.
Qing-Mei Zhou
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Mathematics, 2023 In this work, we used reflexive Banach spaces to study the differential variational—hemivariational inequality problems with constraints. We established a sequence of perturbed differential variational–hemivariational inequality problems with perturbed ...
Shih-Sen Chang +4 more
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Well-posedness for a class of generalized variational-hemivariational inequalities involving set-valued operators [PDF]
Journal of Inequalities and Applications, 2018 The aim of present work is to study some kinds of well-posedness for a class of generalized variational-hemivariational inequality problems involving set-valued operators.
Caijing Jiang
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A new class of fractional impulsive differential hemivariational inequalities with an application [PDF]
Nonlinear Analysis, 2022 We consider a new fractional impulsive differential hemivariational inequality, which captures the required characteristics of both the hemivariational inequality and the fractional impulsive differential equation within the same framework.
Yun-hua Weng +3 more
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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.
Liu Zhenhai +2 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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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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Multivalued nonmonotone dynamic boundary condition
Boundary Value Problems, 2021 In this paper, we introduce a new class of hemivariational inequalities, called dynamic boundary hemivariational inequalities, reflecting the fact that the governing operator is also active on the boundary.
Khadija Aayadi +3 more
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