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On Noncoercive Variational Inequalities

SIAM Journal on Numerical Analysis, 2014
We 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, 2005
From 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, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aussel, D., Hadjisavvas, N.
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Variational Ultraparabolic Inequalities

Ukrainian Mathematical Journal, 2004
In a bounded domain of the space ℝn +2, we consider variational ultraparabolic inequalities with initial condition. We establish conditions for the existence and uniqueness of a solution of this problem. As a special case, we establish the solvability of mixed problems for some classes of nonlinear ultraparabolic equations with nonclassical and ...
S. P. Lavrenyuk, Protsakh, N.
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ON VARIATIONAL INEQUALITIES

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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A Variational-Type Inequality

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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On generalized variational inequalities

Journal of Global Optimization, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Majid Fakhar, Jafar Zafarani
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Parameterized variational inequalities

Journal of Global Optimization, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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VARIATIONAL INEQUALITIES IN COURNOT OLIGOPOLY

International Game Theory Review, 2007
Consider G = (X1,…,XM,g1,…,gM) an M-player game in strategic form, where the set Xi is an interval of real numbers and the payoff functions gi are differentiable with respect to the related variable xi ∈ Xi. If they are also concave, with respect to the related variable, then it is possible to associate to the game G a variational inequality which ...
C. A. PENSAVALLE, G. PIERI
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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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