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Random Quasi‐Variational Inequality
Mathematische Nachrichten, 1986Let 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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Mixed quasi variational inequalities
Applied Mathematics and Computation, 2003The 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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Uniqueness for Quasi-variational Inequalities
Set-Valued and Variational Analysis, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generalized Quasi-Variational Inequalities Without Continuities
Journal of Optimization Theory and Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regularization of quasi-variational inequalities
Optimization, 2015An ill-posed quasi-variational inequality with contaminated data can be stabilized by employing the elliptic regularization. Under suitable conditions, a sequence of bounded regularized solutions converges strongly to a solution of the original quasi-variational inequality.
Akhtar A. Khan +2 more
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WELL-POSED MINTY QUASI-VARIATIONAL INEQUALITIES
Far East Journal of Mathematical Sciences (FJMS), 2015A concept of well-posedness for quasi-variational inequalities of Minty type with one or more than one solution is presented. Characterizations and sufficient conditions are given in Banach spaces.
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QUASI-VARIATIONAL INEQUALITIES IN TRANSPORTATION NETWORKS
Mathematical Models and Methods in Applied Sciences, 2004This paper aims to consider user equilibrium problems in transportation networks in the most complete and realistic situations. In fact, the presented model allows for the dependence of data on time, the presence of elastic travel demands, the capacity restrictions and delay effects.
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Sensitivity Analysis for Quasi-Variational Inequalities
Journal of Optimization Theory and Applications, 1997zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Weighted Quasi-Variational Inequalities in Transportation Networks
AIP Conference Proceedings, 2010The aim of the paper is to present weighted quasi‐variational inequalities in non‐pivot Hilbert spaces that allow to introduce a new model for the transportation networks. Some existence and regularity results for solutions to weighted quasi‐variational inequalities are shown. These results are applied to the traffic network equilibrium model when data
Annamaria Barbagallo +4 more
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Quasi-Variational Inequalities
2011The theory of variational inequalities is a branch of the mathematical sciences dealing with general equilibrium problems. It has a wide range of applications in economics, operations research, industry, physical,and engineering sciences. Many research papers have been written lately, both on the theory and applications of this field.
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