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Fractional Differential Variational-Hemivariational Inequalities
Abstract In this present work, we will examine the unique solvability and Mittag-Leffler global stability of solution mild for a novel category of fractional differential variational-hemivariational inequalities (FDVHI) through fixed point theory and Gronwall inequality in Banach space.
J. Vanterler da C. Sousa +3 more
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Variational-Hemivariational Inequalities with Applications
Sofonea, Mircea, Migórski, Stanisław
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On a class of variational-hemivariational inequalities
Summary: In this paper we consider a class of variational-hemivariational inequalities. We use the critical point theory for nonsmooth functionals due to \textit{D. Motreanu} and \textit{P. D. Panagiotopoulos} [``Minimax theorems and qualitative properties of the solutions of hemivariational inequalities'' (1999; Zbl 1060.49500)].
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Generalized Variational-hemivariational Inequalities in Fuzzy Environment
Zeng, Shengda +3 more
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S. Carl, Vy K. Le, D. Motreanu
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Singular Perturbations of Variational-Hemivariational Inequalities
SIAM Journal on Mathematical Analysis, 2020Let $V_i$, $i=0,1$, be a reflexive Banach space and $K_i$ be a closed and convex subset of $V_i$. It is assumed that $V_1$ is continuously and densely embedded in $V_0$, and $K_1$ is the closure of $K_0$ in $V_0$. Two operators $A_i:V_i\to V_i^*$ are introduced such that \[ \|A_i u-A_i v\|_{V_i^*}\leq L_i \|u-v\|_{V_i},\forall u,v\in V_i\,.
Weimin Han
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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.
Michel Thera +2 more
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On a class of nonlinear variational–hemivariational inequalities
Applicable Analysis, 2004A 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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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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