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On Noncoercive Variational Inequalities
SIAM Journal on Numerical Analysis, 2014We consider variational inequalities with different trial and test spaces and a possibly noncoercive bilinear form. Well-posedness is shown under general conditions that are, e.g., valid for the space-time variational formulation of parabolic variational inequalities.
Silke Glas, Karsten Urban
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Weighted Variational Inequalities
Journal of Optimization Theory and Applications, 2005From the authors' summary: In this paper, we introduce weighted variational inequalities over product of sets and system of weighted variational inequalities. It is noted that the weighted variational inequality problem over product of sets and the problem of system of weighted variational inequalities are equivalent.
Ansari, Q. H., Khan, Z., Siddiqi, A. H.
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On Quasimonotone Variational Inequalities
Journal of Optimization Theory and Applications, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aussel, D., Hadjisavvas, N.
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Acta Mathematica Scientia, 1984
The aim of this paper is to study a somewhat new class of variational inequalities as well as to generalize certain useful resuls including linear and non-linear problems. We are concerned with: the construction of a star set, the main theorem, variational inequality for monotone operators, the case with a mapping piecewise defined and an approximation
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The aim of this paper is to study a somewhat new class of variational inequalities as well as to generalize certain useful resuls including linear and non-linear problems. We are concerned with: the construction of a star set, the main theorem, variational inequality for monotone operators, the case with a mapping piecewise defined and an approximation
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Generalized Variational Inequalities
Journal of Convex Analysis, 2002We consider a rate independent evolution variational inequality with an arbitrary convex closed constraint Z in a Hilbert space X. The main results consist in proving that it is well-posed in the Young integral setting in the space of functions of essentially bounded variation for every Z and in the space of regulated functions provided 0 lies in the ...
Krejčí, Pavel, Laurençot, Philippe
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On generalized variational inequalities
Journal of Global Optimization, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Fakhar, Jafar Zafarani
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The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space [PDF]
Journal of Optimization Theory and Applications, 2011 Aviv Gibali, Yair Censor
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OPSEARCH, 1999
The concepts of variational inequality problem and variational-type inequality problem are already known. In this paper, using a result of Ky Fan we present a variational-type inequality problem in a Hausdorff topological vector space.
Behera, A., Nayak, Lopamudra
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The concepts of variational inequality problem and variational-type inequality problem are already known. In this paper, using a result of Ky Fan we present a variational-type inequality problem in a Hausdorff topological vector space.
Behera, A., Nayak, Lopamudra
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