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Equilibrium Problems and Variational Models

  • Patrizia Daniele
  • Franco Giannessi
  • Antonino Maugeri

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

Table of contents

  1. Front Matter
    Pages i-xiii
  2. Qamrul Hasan Ansari, Jen-Chih Yao
    Pages 1-18
  3. Patrizia Daniele, Giovanna Idone, Antonino Maugeri
    Pages 53-60
  4. Patrizia Daniele, Antonino Maugeri
    Pages 61-78
  5. Vladimir F. Demyanov, Franco Giannessi
    Pages 109-134
  6. Carla Durazzi, Valeria Ruggiero, Gaetano Zanghirati
    Pages 141-161
  7. Burak Ekşioğlu, Sandra Duni Ekşioğlu, Panos M. Pardalos
    Pages 163-183
  8. Nguyen Quang Huy, Ta Duy Phuong, Nguyen Dong Yen
    Pages 265-279
  9. Giandomenico Mastroeni
    Pages 289-298
  10. Anna Nagurney, June Dong, Ding Zhang
    Pages 299-321
  11. Michael Patriksson, R. Tyrrell Rockafellar
    Pages 347-368
  12. Tamás Rapcsák
    Pages 379-399

About this book

Introduction

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.

Keywords

algorithms calculus calculus of variations data analysis model operator optimal control optimization

Editors and affiliations

  • Patrizia Daniele
    • 1
  • Franco Giannessi
    • 2
  • Antonino Maugeri
    • 1
  1. 1.Department of MathematicsUniversity of CataniaCataniaItaly
  2. 2.Department of MathematicsUniversity of PisaPisaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4613-0239-1
  • Copyright Information Springer-Verlag US 2003
  • Publisher Name Springer, Boston, MA
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4613-7955-3
  • Online ISBN 978-1-4613-0239-1
  • Series Print ISSN 1571-568X
  • Buy this book on publisher's site
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