RETRACTED ARTICLE: On stability analysis for generalized Minty variational-hemivariational inequality in reflexive Banach spaces [PDF]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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Well-Posedness by Perturbations for Variational-Hemivariational Inequalities [PDF]
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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Well-Posedness for a Class of Strongly Mixed Variational-Hemivariational Inequalities with Perturbations [PDF]
Journal of Applied Mathematics, 2012 The concept of well-posedness for a minimization problem is extended to develop the concept of well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations which includes as a special case the class of ...
Lu-Chuan Ceng +2 more
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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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Convergence Results for Elliptic Variational-Hemivariational Inequalities [PDF]
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality đť“ź in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
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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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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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Solvability of nonlinear variational-hemivariational inequalities
Journal of Mathematical Analysis and Applications, 2005 In this paper we study nonlinear elliptic differential equations driven by the p-Laplacian with unilateral constraints produced by the combined effects of a monotone term and of a nonmonotone term (variational–hemivariational inequality). Our approach is
Filippakis, ME +5 more
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