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On Quasimonotone Variational Inequalities

Journal of Optimization Theory and Applications, 1998
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Convergences for variational inequalities and generalized variational inequalities

1997
Summary: Let \(E\) be a topological vector space and consider, for any \(n\in\mathbb{N}\), the variational inequality: find \(u\in E\) such that \(f_n(u,w)+ \phi_n(u)\leq\phi_n(w)\) for any \(w\in E\), where \(f_n: E\to\mathbb{R}\) and \(\phi_n: E\to\mathbb{R}\cup\{+\infty\}\).
LIGNOLA, MARIA BEATRICE   +1 more
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ON AN INEQUALITY FOR GENERALIZED VARIATION

Analysis, 1984
The functions of k-th variation [in the sense of \textit{A. M. Russel}, Proc. Lond. Mat. Soc., III. Ser. 26, 547-563 (1973; Zbl 0254.26017)] are considered. Denote \[ S_ k=\{f;V_ k(f;a,b)
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Variational inequalities and rearrangements

1992
Summary: We give comparison results for solutions of variational inequalities, related to general elliptic second order operators, involving solutions of symmetrized problems, using Schwarz spherical symmetrization.
ALVINO, ANGELO   +2 more
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Solvability of the Minty Variational Inequality

Journal of Optimization Theory and Applications, 2017
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G-Convergence for elliptic equations, variational inequalities and quasi-variational inequalities

Rendiconti del Seminario Matematico e Fisico di Milano, 1977
We give a general view of the results recently obtained onG-convergence and homogeneisation for elliptic equations, variational inequalities and quasi-variational inequalities and quasi-variational inequalities.
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Generalized variational inequalities and generalized quasi-variational inequalities

Applied Mathematics and Mechanics, 1993
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Variational Inequalities: an Elementary Approach

Journal of Global Optimization, 2004
Let \(M=(m_{ij})\) be an \(n \times n\) matrix with real entries such that \(m_{ij}+m_{ji} \geq 0\), \(i,j=1, \dots, n\). The author proves that the system of inequalities \(x \in {\mathbb R}^n\), \(x \geq 0\), \(Mx \geq 0\) has non--trivial solutions. Applications of the result to the theory of monotone variational inequalities are discussed.
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Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2022
Mohammad Eslamian
exaly  

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