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Generalized Convexity

Proceedings of the IVth International Workshop on Generalized Convexity Held at Janus Pannonius University Pécs, Hungary, August 31–September 2, 1992

  • Conference proceedings
  • © 1994

Overview

Editors:
  1. Sándor Komlósi

    1. Faculty of Economics, Janus Pannonius University, Pécs, Hungary

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  2. Tamás Rapcsák

    1. Computer and Automation Institute, Hungary Academy of Sciences, Budapest, Hungary

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    You can also search for this editor in PubMed   Google Scholar

  3. Siegfried Schaible

    1. Graduate School of Management, University of California, Riverside, USA

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    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 405)

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Table of contents (30 papers)

  1. Front Matter

    Pages i-viii
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  2. Generalized Convex Functions

    1. Front Matter

      Pages 1-1
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    2. Univex sets, functions and univex nonlinear programming

      • C. R. Bector, S. Chandra, S. Gupta, S. K. Suneja
      Pages 3-18

    3. Optimization on closely convex sets

      • Lucia Blaga, József Kolumbán
      Pages 19-34

    4. A note on ordinal concavity

      • Margherita Cigola
      Pages 35-39

    5. Generalized concavity in cooperative game theory: characterizations in terms of the core

      • Theo Driessen
      Pages 40-52

    6. On the existence of Nash-equilibrium in n-person generalized concave games

      • Ferenc Forgó
      Pages 53-61

    7. A deep cut ellipsoid algorithm and quasiconvex programming

      • J. G. B. Frenk, J. Gromicho, F. Plastria, S. Zhang
      Pages 62-76

    8. Quasiconvexity and related properties in the calculus of variations

      • H. Hartwig
      Pages 77-84

    9. Ray-quasiconvex and f-quasiconvex functions

      • J. A. Mayor-Gallego, A. Rufián-Lizana, P. Ruiz-Canales
      Pages 85-90

    10. Geodesic convexity on ℝ n

      • T. Rapcsák
      Pages 91-103

    11. A class of differentiable generalized convex functions

      • P. Szilágyi
      Pages 104-115

    12. Equivalence between generalized gradients and subdifferentials for a suitable class of lower semicontinuos functions

      • Mario Tosques
      Pages 116-133

  3. Optimality and Duality

    1. Front Matter

      Pages 135-135
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    2. Generalizing convexity for second order optimality conditions

      • Gabriele Danninger, Immanuel M. Bomze
      Pages 137-144

    3. Regularity conditions for constrained extremum problems via image space approach: the linear case

      • P. H. Dien, G. Mastroeni, M. Pappalardo, P. H. Quang
      Pages 145-152

    4. Duality theory for convex/quasiconvex functions and its application to optimization

      • J. G. B. Frenk, D. M. L. Dias, J. Gromicho
      Pages 153-170

    5. First order generalized optimality conditions for programming problems with a set constraint

      • G. Giorgi, A. Guerraggio
      Pages 171-185

    6. Abstract nonsmooth nonconvex programming

      • B. M. Glover, V. Jeyakumar
      Pages 186-210

    7. A survey on optimality and duality in nonsmooth programming

      • Stefan Mititelu
      Pages 211-225
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Keywords

About this book

Generalizations of the classical concept of a convex function have been proposed in various fields such as economics, management science, engineering, statistics and applied sciences during the second half of this century. In addition to new results in more established areas of generalized convexity, this book presents several important developments in recently emerging areas. Also, a number of interesting applications are reported.

Editors and Affiliations

  • Faculty of Economics, Janus Pannonius University, Pécs, Hungary

    Sándor Komlósi

  • Computer and Automation Institute, Hungary Academy of Sciences, Budapest, Hungary

    Tamás Rapcsák

  • Graduate School of Management, University of California, Riverside, USA

    Siegfried Schaible

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