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Equilibrium Problems and Variational Models

  • Book
  • © 2003

Overview

Editors:
  1. Patrizia Daniele

    1. Department of Mathematics, University of Catania, Catania, Italy

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  2. Franco Giannessi

    1. Department of Mathematics, University of Pisa, Pisa, Italy

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  3. Antonino Maugeri

    1. Department of Mathematics, University of Catania, Catania, Italy

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

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Table of contents (24 chapters)

  1. Front Matter

    Pages i-xiii
    Download chapter PDF

  2. On Vector Quasi—Equilibrium Problems

    • Qamrul Hasan Ansari, Jen-Chih Yao
    Pages 1-18

  3. The Log—Quadratic Proximal Methodology in Convex Optimization Algorithms and Variational Inequalities

    • Alfred Auslender, Marc Teboulle
    Pages 19-52

  4. The Continuum Model of Transportation Problem

    • Patrizia Daniele, Giovanna Idone, Antonino Maugeri
    Pages 53-60

  5. The Economic Model for Demand—Supply Markets

    • Patrizia Daniele, Antonino Maugeri
    Pages 61-78

  6. Constrained Problems of Calculus of Variations Via Penalization Technique

    • Vladimir F. Demyanov
    Pages 79-108

  7. Variational Problems with Constraints Involving Higher-Order Derivatives

    • Vladimir F. Demyanov, Franco Giannessi
    Pages 109-134

  8. On the Strong Solvability of a Unilateral Boundary Value Problem for Nonlinear Parabolic Operators in the Plane

    • Rosalba Di Vincenzo
    Pages 135-140

  9. Solving a Special Class of Discrete Optimal Control Problems Via a Parallel Interior—Point Method

    • Carla Durazzi, Valeria Ruggiero, Gaetano Zanghirati
    Pages 141-161

  10. Solving Large Scale Fixed Charge Network Flow Problems

    • Burak Ekşioğlu, Sandra Duni Ekşioğlu, Panos M. Pardalos
    Pages 163-183

  11. Variable Projection Methods for Large—Scale Quadratic Optimization in Data Analysis Applications

    • Emanuele Galligani, Valeria Ruggiero, Luca Zanni
    Pages 185-211

  12. Strong Solvability of Boundary Value Problems in Elasticity with Unilateral Constraints

    • Sofia Giuffrè
    Pages 213-224

  13. Time Dependent Variational Inequalities — Some Recent Trends

    • Joachim Gwinner
    Pages 225-264

  14. On the Contractibility of the Efficient and Weakly Efficient Sets in R 2

    • Nguyen Quang Huy, Ta Duy Phuong, Nguyen Dong Yen
    Pages 265-279

  15. Existence Theorems for a Class of Variational Inequalities and Applications to a Continuous Model of Transportation

    • Francesco Marino
    Pages 281-287

  16. On Auxiliary Principle for Equilibrium Problems

    • Giandomenico Mastroeni
    Pages 289-298

  17. Multicriteria Spatial Price Networks: Statics and Dynamics

    • Anna Nagurney, June Dong, Ding Zhang
    Pages 299-321

  18. Non Regular Data in Unilateral Variational Problems

    • Pirro Oppezzi
    Pages 323-332

  19. Equilibrium Concepts in Transportation Networks: Generalized Wardrop Conditions and Variational Formulations

    • Massimo Pappalardo, Mauro Passacantando
    Pages 333-346

  20. Variational Geometry and Equilibrium

    • Michael Patriksson, R. Tyrrell Rockafellar
    Pages 347-368
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Keywords

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.

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: https://doi.org/10.1007/978-1-4613-0239-1

  • 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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