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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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On Quasimonotone Variational Inequalities

Journal of Optimization Theory and Applications, 2004
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Aussel, D., Hadjisavvas, N.
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Generalized Vector Variational Inequalities

Journal of Optimization Theory and Applications, 1997
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lin, K. L., Yang, D. P., Yao, J. C.
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Solving Fuzzy Variational Inequalities

Fuzzy Optimization and Decision Making, 2002
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Fang, Shu-Cherng, Hu, Cheng-Feng
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Nonlinear Elliptic Variational Inequalities

Mathematische Nachrichten, 1979
AbstractWe consider the problem of finding a solution to a class of nonlinear elliptic variational inequalities. These inequalities may be defined on bounded or unbounded domains Ω, and the nonlinearity can depend on gradient terms. Appropriate definitions of sub‐and supersolutions relative to the constraint sets are given.
Bose, Deb K., Brill, Heinz
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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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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 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.
Glas, Silke, Urban, Karsten
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Random Quasi‐Variational Inequality

Mathematische Nachrichten, 1986
Let X be a topological locally convex Hausdorff space, \(X^*\) the dual space of X equipped with the topology of uniform convergence on bounded subsets of X, C a non empty convex compact subset of X. Let E be a continuous multifunction from C to \(2^ C\), F be a u.s.c. multifunction from C to \(2^{X^*}\) and \(\phi\) be a l.s.c.
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On Generalized Variational Inequalities

2007
In this paper we illustrate the connections between generalized variational inequalities (GVI) and other mathematical models: optimization, complementarity, inclusions, dynamical systems. In particular, we analyse relationships between existence theorems of solutions of GVI and existence theorems of equilibrium points of inclusions and projected ...
PAPPALARDO, MASSIMO, PANICUCCI B.
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