Variational Inequalities and Network Equilibrium Problems

Variational Inequalities and Network Equilibrium Problems

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This volume brings forth a set of papers presented at the conference on qVaria tional Inequalities and network equilibrium problemsq, held in Erice at the qG. Stam pacchiaq School of the qE. Majoranaq Centre for Scientific Culture in the period 19~25 June 1994. The meeting was conceived to contribute to the exchange between Variational Analysis and equilibrium problems, especially those related to network design. Most of the approaches and viewpoints of these fields are present in the volume, both as concerns the theory and the applications of equilibrium problems to transportation, computer and electric networks, to market behavior, and to bi~level programming. Being convinced of the great importance of equilibrium problems as well as of their complexity, the organizers hope that the merging of points of view coming from differ ent fields will stimulate theoretical research and applications. In this context Variational and Quasi~Variational Inequalities have shown them selves to be very important models for equilibrium problems. As a consequence in the last two decades they have received a lot of attention both as to mathematical inves tigation and applications. The proof that the above mentioned equilibrium problems can be expressed, in terms of Variational or Quasi~Variational Inequalities also in the non~standard and non~symmetric cases, has been a crucial improvement.As Bh a€“ d = Bh a€“ d = 0, it follows that d = d. if (t, w) # (th, wh) and do, + do, -hp, + hp. ... the user equilibrium problem (3.2) and the Variational Inequality (3.3) are not equivalent, because the existence of a solution of (3.3) would not imply theanbsp;...

Title:Variational Inequalities and Network Equilibrium Problems
Author:Franco Giannessi, A. Maugeri
Publisher:Springer Science & Business Media - 2013-06-29


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