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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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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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On Continuation for Variational Inequalities
SIAM Journal on Numerical Analysis, 1987A 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
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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On Some Noncoercive Variational Inequalities
Ukrainian Mathematical Journal, 2001The 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, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shu-Cherng Fang, Cheng-Feng Hu
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On Quasimonotone Variational Inequalities
Journal of Optimization Theory and Applications, 1998zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Convergences for variational inequalities and generalized variational inequalities
1997Summary: 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 AN INEQUALITY FOR GENERALIZED VARIATION
Analysis, 1984The 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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Variational inequalities and rearrangements
1992Summary: We give comparison results for solutions of variational inequalities, related to general elliptic second order operators, involving solutions of symmetrized problems, using Schwarz spherical symmetrization.
ALVINO, ANGELO +2 more
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