Generalized Convexity, Generalized Monotonicity and Applications

Proceedings of the 7th International Symposium on Generalized Convexity and Generalized Monotonicity

  • Andrew Eberhard
  • Nicolas Hadjisavvas
  • Dinh The Luc
Conference proceedings

DOI: 10.1007/b102138

Part of the Nonconvex Optimization and Its Applications book series (NOIA, volume 77)

Table of contents

  1. Front Matter
    Pages i-x
  2. Invited Papers

  3. Contributed Papers

    1. Front Matter
      Pages 87-87
    2. Riccardo Cambini, Laura Carosi
      Pages 131-146
    3. Riccardo Cambini, Laura Carosi, Siegfried Schaible
      Pages 147-159
    4. Alberto Cambini, Laura Martein, Siegfried Schaible
      Pages 161-172
    5. A. Raouf Chouikha
      Pages 173-181
    6. B. D. Craven
      Pages 183-191
    7. Giovanni P. Crespi, Angelo Guerraggio, Matteo Rocca
      Pages 193-211
    8. Giovanni P. Crespi, Davide La Torre, Matteo Rocca
      Pages 213-228
    9. Andrew Eberhard, Michael Nyblom, Rajalingam Sivakumaran
      Pages 229-261
    10. Misha G. Govil, Aparna Mehra
      Pages 287-297
    11. Duan Li, Zhiyou Wu, Heung Wing Joseph Lee, Xinmin Yang, Liansheng Zhang
      Pages 299-309

About these proceedings

Introduction

This volume contains a collection of refereed articles on generalized convexity and generalized monotonicity. The first part of the book contains invited papers by leading experts (J.M. Borwein, R.E. Burkard, B.S. Mordukhovich and H. Tuy) with applications of (generalized) convexity to such diverse fields as algebraic dynamics of the Gamma function values, discrete optimization, Lipschitzian stability of parametric constraint systems, and monotonicity of functions. The second part contains contributions presenting the latest developments in generalized convexity and generalized monotonicity: its connections with discrete and with continuous optimization, multiobjective optimization, fractional programming, nonsmooth Aanalysis, variational inequalities, and its applications to concrete problems such as finding equilibrium prices in mathematical economics, or hydrothermal scheduling.

Audience

This volume is suitable for faculty, graduate students, and researchers in mathematical programming, operations research, convex analysis, nonsmooth analysis, game theory and mathematical economics.

Keywords

Convexity Hilbert space algorithms game theory global optimization multi-objective optimization operations research optimization scheduling

Editors and affiliations

  • Andrew Eberhard
    • 1
  • Nicolas Hadjisavvas
    • 2
  • Dinh The Luc
    • 3
  1. 1.RMIT UniversityAustralia
  2. 2.University of the AegeanGreece
  3. 3.University of AvignonFrance

Bibliographic information

  • Copyright Information Springer Science + Business Media, Inc. 2005
  • Publisher Name Springer, Boston, MA
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-387-23638-4
  • Online ISBN 978-0-387-23639-1
  • Series Print ISSN 1571-568X