Generalized Convexity

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

  • Sándor Komlósi
  • Tamás Rapcsák
  • Siegfried Schaible
Conference proceedings

DOI: 10.1007/978-3-642-46802-5

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

Table of contents (30 papers)

  1. Front Matter
    Pages i-viii
  2. Generalized Convex Functions

    1. Front Matter
      Pages 1-1
    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. A deep cut ellipsoid algorithm and quasiconvex programming
      J. G. B. Frenk, J. Gromicho, F. Plastria, S. Zhang
      Pages 62-76
    6. Ray-quasiconvex and f-quasiconvex functions
      J. A. Mayor-Gallego, A. Rufián-Lizana, P. Ruiz-Canales
      Pages 85-90
    7. Geodesic convexity on n
      T. Rapcsák
      Pages 91-103
  3. Optimality and Duality

    1. Front Matter
      Pages 135-135
    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. Abstract nonsmooth nonconvex programming
      B. M. Glover, V. Jeyakumar
      Pages 186-210

About these proceedings


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.


Convexity Generalized convex functions Quotientenprogrammierung Scheduling Verallgemeinerte konvexe Funktionen Verallgemeinerte monotone Abbildungen algorithms fractional programming game theory generalized monotone maps linear optimization nonlinear optimization optimization

Editors and affiliations

  • Sándor Komlósi
    • 1
  • Tamás Rapcsák
    • 2
  • Siegfried Schaible
    • 3
  1. 1.Faculty of EconomicsJanus Pannonius UniversityPécsHungary
  2. 2.Computer and Automation InstituteHungary Academy of SciencesBudapestHungary
  3. 3.Graduate School of ManagementUniversity of CaliforniaRiversideUSA

Bibliographic information

  • Copyright Information Springer-Verlag Berlin Heidelberg 1994
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-57624-2
  • Online ISBN 978-3-642-46802-5
  • Series Print ISSN 0075-8442