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Equilibrium Problems and Variational Models

  • Book
  • © 2003


Part of the book series: Nonconvex Optimization and Its Applications (NOIA, volume 68)

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About this book

The volume, devoted to variational analysis and its applications, collects selected and refereed contributions, which provide an outline of the field. The meeting of the title "Equilibrium Problems and Variational Models", which was held in Erice (Sicily) in the period June 23 - July 2 2000, was the occasion of the presentation of some of these papers; other results are a consequence of a fruitful and constructive atmosphere created during the meeting. New results, which enlarge the field of application of variational analysis, are presented in the book; they deal with the vectorial analysis, time dependent variational analysis, exact penalization, high order deriva­ tives, geometric aspects, distance functions and log-quadratic proximal methodology. The new theoretical results allow one to improve in a remarkable way the study of significant problems arising from the applied sciences, as continuum model of transportation, unilateral problems, multicriteria spatial price models, network equilibrium problems and many others. As noted in the previous book "Equilibrium Problems: Nonsmooth Optimization and Variational Inequality Models", edited by F. Giannessi, A. Maugeri and P.M. Pardalos, Kluwer Academic Publishers, Vol. 58 (2001), the progress obtained by variational analysis has permitted to han­ dle problems whose equilibrium conditions are not obtained by the mini­ mization of a functional. These problems obey a more realistic equilibrium condition expressed by a generalized orthogonality (complementarity) con­ dition, which enriches our knowledge of the equilibrium behaviour. Also this volume presents important examples of this formulation.

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Table of contents (24 chapters)

Editors and Affiliations

  • Department of Mathematics, University of Catania, Catania, Italy

    Patrizia Daniele, Antonino Maugeri

  • Department of Mathematics, University of Pisa, Pisa, Italy

    Franco Giannessi

Bibliographic Information

  • Book Title: Equilibrium Problems and Variational Models

  • Editors: Patrizia Daniele, Franco Giannessi, Antonino Maugeri

  • Series Title: Nonconvex Optimization and Its Applications

  • DOI:

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 2003

  • Hardcover ISBN: 978-1-4020-7470-7Published: 30 June 2003

  • Softcover ISBN: 978-1-4613-7955-3Published: 17 September 2011

  • eBook ISBN: 978-1-4613-0239-1Published: 01 December 2013

  • Series ISSN: 1571-568X

  • Edition Number: 1

  • Number of Pages: XIV, 446

  • Topics: Optimization, Mathematical Modeling and Industrial Mathematics

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