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Generalized Convexity and Generalized Monotonicity

Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 1999

  • Conference proceedings
  • © 2001

Overview

Editors:
  1. Nicolas Hadjisavvas

    1. Department of Mathematics, University of the Aegean, Karlovassi/Samos, Greece

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  2. Juan Enrique Martínez-Legaz

    1. CODE and Department of Economics, Universitat Autonoma de Barcelona, Bellaterra, Spain

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  3. Jean-Paul Penot

    1. Department of Mathematics Faculty of Sciences, Université de Pau, Pau, France

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Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 502)

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Table of contents (28 papers)

  1. Front Matter

    Pages I-IX
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  2. Invited Papers

    1. Front Matter

      Pages 1-1
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    2. Minimization of the Sum of Several Linear Fractional Functions

      • Hiroshi Konno
      Pages 3-20

    3. Discrete Higher Order Convex Functions and their Applications

      • András Prékopa
      Pages 21-47

    4. Cuts and Semidefinite Relaxations for Nonconvex Quadratic Problems

      • Yasutoshi Yajima, Motakuri V. Ramana, Panos M. Pardalos
      Pages 48-70

  3. Contributed papers

    1. Front Matter

      Pages 71-71
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    2. The Steiner Ratio of \( \mathcal{L}_p^3 \)

      • Jens Albrecht, Dietmar Cieslik
      Pages 73-87

    3. Normal Cones to Sublevel Sets: An Axiomatic Approach

      • Didier Aussel, Aris Daniilidis
      Pages 88-101

    4. Multiobjective Programming with ρ-convex Functions

      • Antonio Beato-Moreno, Rafaela Osuna-Gómez, Antonio Rufián-Lizana, Pascual Ruiz-Canales
      Pages 102-116

    5. Vector Invex N-set Functions and Minmax Programming

      • Davinder Bhatia, Promila Kumar
      Pages 117-128

    6. On the Supremum in Quadratic Fractional Programming

      • Alberto Cambini, Laura Carosi, Laura Martein
      Pages 129-143

    7. First and Second Order Characterizations of a Class of Pseudoconcave Vector Functions

      • Riccardo Cambini, Laura Martein
      Pages 144-158

    8. New Invexity-Type Conditions in Constrained Optimization

      • Giuseppe Caristi, Massimiliano Ferrara, Anton Stefanescu
      Pages 159-166

    9. Stochastic s-(increasing) Convexity

      • Michel Denuit, Claude Lefevre
      Pages 167-182

    10. Fixed Point Theorems, Coincidence Theorems and Variational Inequalities

      • Behzad Djafari-Rouhani, Enayet Tarafdar, Peter Jonathan Watson
      Pages 183-188

    11. Representation of a Polynomial Function as a Difference of Convex Polynomials, with an Application

      • Albert Ferrer Biosca
      Pages 189-207

    12. Proper Efficiency and Generalized Convexity in Nonsmooth Vector Optimization Problems

      • Giorgio Giorgi, Angelo Guerraggio
      Pages 208-217

    13. Duality for Fractional Min-max Problems Involving Arcwise Connected and Generalized Arcwise Connected Functions

      • Pankaj Gupta, Davinder Bhatia
      Pages 218-230

    14. Generalized Convexity for Unbounded Sets: The Enlarged Space

      • Guillermo L. Hansen, Jean-Claude Dupin
      Pages 231-239

    15. A Note on Minty Variational Inequalities and Generalized Monotonicity

      • Reinhard John
      Pages 240-246
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Keywords

Editors and Affiliations

  • Department of Mathematics, University of the Aegean, Karlovassi/Samos, Greece

    Nicolas Hadjisavvas

  • CODE and Department of Economics, Universitat Autonoma de Barcelona, Bellaterra, Spain

    Juan Enrique Martínez-Legaz

  • Department of Mathematics Faculty of Sciences, Université de Pau, Pau, France

    Jean-Paul Penot

Bibliographic Information

  • Book Title: Generalized Convexity and Generalized Monotonicity

  • Book Subtitle: Proceedings of the 6th International Symposium on Generalized Convexity/Monotonicity, Samos, September 1999

  • Editors: Nicolas Hadjisavvas, Juan Enrique Martínez-Legaz, Jean-Paul Penot

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-56645-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 2001

  • Softcover ISBN: 978-3-540-41806-1Published: 10 April 2001

  • eBook ISBN: 978-3-642-56645-5Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: IX, 410

  • Number of Illustrations: 1 b/w illustrations, 1 illustrations in colour

  • Topics: Optimization, Operations Research/Decision Theory, Calculus of Variations and Optimal Control; Optimization

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