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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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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 generalized variational inequalities

Journal of Global Optimization, 2008
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Majid Fakhar, Jafar Zafarani
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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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Parameterized variational inequalities

Journal of Global Optimization, 2009
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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 Continuation for Variational Inequalities

SIAM Journal on Numerical Analysis, 1987
A predictor-corrector type method for the continuation along solution branches of nonlinear variational inequalities of the form \(a(u_ 0,u- u_ 0)\geq \lambda_ 0(F(u_ 0),u-u_ 0)\) is presented. On the basis of recent analytical results and previous work of the author this method is proposed for a class of obstacle problems. Numerical results are given.
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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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On Some Noncoercive Variational Inequalities

Ukrainian Mathematical Journal, 2001
The authors study existence and regularity of solutions of two variational inequalities. The first one has the form: \[ \sum_{k=1}^{2}\sum_{i,j=1}^{n}\int_{\Omega_k}a_{ij}^k(u_k)'_{x_i} (v_k-u_k)'_{x_j}+\int_{\Omega_1}au_1(v_1-u_1) dx\geq \sum_{k=1}^{k}\langle f_k,v_k-u_k\rangle_k \quad \forall(v_1,v_2)\in K. \] Here \(\Omega_1,\Omega_2\) are such open
A. GALLO   +2 more
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Solving Fuzzy Variational Inequalities

Fuzzy Optimization and Decision Making, 2002
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Shu-Cherng Fang, Cheng-Feng Hu
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