Variational Inequalities and Network Equilibrium Problems

By: Giannessi, International School of Mathematics G St, F. Giannessi (Editor)

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Hardcover | 31 March 1995

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320 Pages

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23.39 x 15.6 x 1.91

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This volume brings forth a set of papers presented at the conference on "Varia tional Inequalities and network equilibrium problems", held in Erice at the "G. Stam pacchia" School of the "E. Majorana" 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.

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Non-Fiction Engineering & Technology Technology in General Engineering in General Business & Management Management & Management Techniques Management Decision Making Computing & I.T.Computer Science Social Services & Welfare Social Welfare & Social Services Social Work

Mathematics Calculus & Mathematical Analysis Calculus of Variations Databases Data Capture & Analysis

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Published: 26th June 2013

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On a separation approach to variational inequalities
Traffic scheduling in telecommunication systems and network flow
On the duality theory for finite dimensional variational inequalities
Some properties of periodic solutions of linear control systems via quasi-variational inequalities
Generalized quasi-variational inequalities and traffic equilibrium problem
Vector variational inequality and geometric vector optimization
Testing a new class of algorithms for nonlinear complementarity problems
Equilibrium in transport networks with capacity constraints
Separation of sets and gap functions for quasi-variational inequalities
Stability of monotone variational inequalities with various applications
A primal-dual proximal point algorithm for variational inequality problems
Relations between t-, s-, z-domain descriptions of periodically-switched networks
On side constrained models of traffic equilibria
Advantages and drawbacks of variational inequalities formulations
Variational and quasi-variational inequalities in network flow models. Recent developments in theory and algorithms
A variational inequality associated to a scalar conservation law with unilateral constraints
Continuity of the solution set of homogeneous equilibrium problems and linear complementarity problems
Tensor approximations of smooth nonlinear complementarity systems
Basic existence theorems for generalized variational and quasi-variational inequalities
Sensitivity analysis of variational inequalities by normal-map techniques
Monotone relations and network equilibrium
Generalized monotonicity-concepts and uses
Contributors
Index
Table of Contents provided by Blackwell. All Rights Reserved.

Variational Inequalities and Network Equilibrium Problems

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Hardcover

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