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Titlebook: Variational Inequalities and Network Equilibrium Problems; F. Giannessi,A. Maugeri Book 1995 Springer Science+Business Media New York 1995

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Testing a New Class of Algorithms for Nonlinear Complementarity Problems,ecently proposed merit function which possesses some interesting theoretical properties. One of the aims of the paper is to show that algorithms based on this merit function can be viable also from the numerical point of view.
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Equilibrium in Transport Networks with Capacity Constraints,aints are active, there is not equilibrium in these networks. However an equilibrium solution can be assured in any case if additional costs are imposed on network links. The paper presents a model of multimodal networks where capacity constraints, and both demand and cost functions, are symmetric:
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Stability of Monotone Variational Inequalities with Various Applications,onotonicity and equicoervity assumptions to semicoervity conditions. The abstract theory is firstly applied to a finite dimensional Variational Inequality that models distributed market equilibria with box constraints providing a stability result with respect to the upper bounds. Then it is applied
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A Primal-Dual Proximal Point Algorithm for Variational Inequality Problems,d for solving Variational Inequality problems and, in particular, convex optimization problems. In this paper, we propose a new variant of the primal-dual proximal point algorithm for solving monotone Variational Inequality problems. The proposed method adopts a Gauss-Seidel-like procedure to solve
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On Side Constrained Models of Traffic Equilibria, joint capacities on two-way streets, turning priorities in junctions, etc. Traditionally, such relationships are introduced implicitly through generalizations of the separable travel cost function of the basic model, and the refined models are usually stated as variational inequalities. However, th
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Advantages and Drawbacks of Variational Inequalities Formulations,equilibrium relationships among several agents occur. This interest has prompted researchers to develop efficient algorithms for solving Variational Inequalities in finite dimensional spaces. In this presentation we will try to assess the advantages and possible drawbacks of Variational Inequality f
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Variational and Quasi-Variational Inequalities in Network Flow Models. Recent Developments in Theorms for the network equilibrium problems..But, in contrary, the necessity to achieve more and more wider theory and efficient algorithms has contributed to improve our knowledge about theoretical topics and their mutual connections as Duality and Potential Theory, Gap functions, Separation Theory, Se
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