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Solving Fuzzy Variational Inequalities

Fuzzy Optimization and Decision Making, 2002
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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Well-posed variational inequalities

Journal of Applied Mathematics and Computing, 2003
In this paper, the author introduces the concept of well-posedness for a class of general variational inequalities and proves some basic results in Hilbert spaces. As applications, some results for a class of quasi-variational inequalities are derived.
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Mixed quasi variational inequalities

Applied Mathematics and Computation, 2003
The author studies the ``mixed quasi variational inequality problem'', that is, the problem of finding \(u\in H\) such that for all \(v\in H\), \[ \langle T(u),v-u\rangle+\varphi(v,u)-\varphi(u,u)\geq0, \] where \(H\) is a Hilbert space, \(T:H\rightarrow H\) is a non-linear operator and \(\varphi:H\times H\rightarrow\mathbb{R}\cup\{+\infty\}\) is a ...
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Partitionable Mixed Variational Inequalities

2005
Two recent papers [1] and [2] have presented existence and uniqueness results for solutions of mixed variational inequality problems involving P-mappings and convex and separable but not necessarily differentiable functions where the feasible set is defined by box type constraints.
ALLEVI, Elisabetta   +3 more
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