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, 2020
This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach.
L. Ceng +3 more
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This article proposes two general inertial algorithms with line-search process for finding a solution of a variational inequality problem with fixed-point constraints via a subgradient-extragradient approach.
L. Ceng +3 more
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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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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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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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Variational Ultraparabolic Inequalities
Ukrainian Mathematical Journal, 2004In 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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Parameterized variational inequalities
Journal of Global Optimization, 2009zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Generalized Variational Inequalities
2007In 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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VARIATIONAL INEQUALITIES IN COURNOT OLIGOPOLY
International Game Theory Review, 2007Consider 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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