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Generalized Convexity and Fractional Programming with Economic Applications

Proceedings of the International Workshop on “Generalized Concavity, Fractional Programming and Economic Applications” Held at the University of Pisa, Italy, May 30 – June 1, 1988

  • Alberto Cambini
  • Erio Castagnoli
  • Laura Martein
  • Piera Mazzoleni
  • Siegfried Schaible

Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 345)

Table of contents

  1. Front Matter
    Pages N2-VII
  2. Generalized Convexity

    1. Front Matter
      Pages 1-1
    2. S. Schaible
      Pages 2-13
    3. S. T. Hackman, U. Passy
      Pages 23-35
    4. E. Castagnoli, P. Mazzoleni
      Pages 52-76
  3. Fractional Programming

    1. Front Matter
      Pages 85-85
    2. C. R. Bector, A. Cambini
      Pages 86-98
    3. V. Patkar, I. M. Stancu-Minasian
      Pages 99-105
    4. Y. Benadada, J. P. Crouzeix, J. A. Ferland
      Pages 106-120
  4. Duality and Conjugation

    1. Front Matter
      Pages 167-167
    2. J. E. Martinez-Legaz
      Pages 168-197
    3. J. P. Penot, M. Volle
      Pages 198-218
    4. K. H. Elster, A. Wolf
      Pages 219-231
    5. C. R. Bector, S. Chandra, C. Singh
      Pages 232-241
  5. Applications of Generalized Convexity in Management Science and Economics

    1. Front Matter
      Pages 265-265
    2. L. Montrucchio, L. Peccati
      Pages 276-286
    3. J. P. Crouzeix, J. A. Ferland, S. Schaible
      Pages 287-294
    4. I. M. Stancu-Minasian, S. Tigan
      Pages 295-324
  6. Back Matter
    Pages 359-365

About these proceedings

Introduction

Generalizations of convex functions have been used in a variety of fields such as economics. business administration. engineering. statistics and applied sciences.· In 1949 de Finetti introduced one of the fundamental of generalized convex functions characterized by convex level sets which are now known as quasiconvex functions. Since then numerous types of generalized convex functions have been defined in accordance with the need of particular applications.· In each case such functions preserve soine of the valuable properties of a convex function. In addition to generalized convex functions this volume deals with fractional programs. These are constrained optimization problems which in the objective function involve one or several ratios. Such functions are often generalized convex. Fractional programs arise in management science. economics and numerical mathematics for example. In order to promote the circulation and development of research in this field. an international workshop on "Generalized Concavity. Fractional Programming and Economic Applications" was held at the University of Pisa. Italy. May 30 - June 1. 1988. Following conferences on similar topics in Vancouver. Canada in 1980 and in Canton. USA in 1986. it was the first such conference organized in Europe. It brought together 70 scientists from 11 countries. Organizers were Professor A. Cambini. University of Pisa. Professor E. Castagnoli. Bocconi University. Milano. Professor L. Martein. University of Pisa. Professor P. Mazzoleni. University of Verona and Professor S. Schaible. University of California. Riverside.

Keywords

Dualität Konvexe Funktionen Operations Research Programmierung Sektoroptimierung Vector optimization duality fractional progeamming generalized convexity nichtlineare Programmierung nonlinear programming optimization

Editors and affiliations

  • Alberto Cambini
    • 1
  • Erio Castagnoli
    • 2
  • Laura Martein
    • 1
  • Piera Mazzoleni
    • 3
  • Siegfried Schaible
    • 4
  1. 1.Department of Statistics and Applied MathematicsUniversity of PisaPisaItaly
  2. 2.Institute of Quantitative MethodsBocconi UniversityMilanoItaly
  3. 3.Institute of MathematicsUniversity of VeronaVeronaItaly
  4. 4.Graduate School of ManagementUniversity of CaliforniaRiversideUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-46709-7
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-52673-5
  • Online ISBN 978-3-642-46709-7
  • Series Print ISSN 0075-8442
  • Buy this book on publisher's site
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