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

  • J. G. B. Frenk
  • D. M. L. Dias
  • J. Gromicho
Conference paper

DOI: 10.1007/978-3-642-46802-5_14

Volume 405 of the book series Lecture Notes in Economics and Mathematical Systems (LNE)
Cite this paper as:
Frenk J.G.B., Dias D.M.L., Gromicho J. (1994) Duality theory for convex/quasiconvex functions and its application to optimization. In: Komlósi S., Rapcsák T., Schaible S. (eds) Generalized Convexity. Lecture Notes in Economics and Mathematical Systems, vol 405. Springer, Berlin, Heidelberg

Abstract

In this paper an intuitive and geometric approach is presented explaining the basic ideas of convex/quasiconvex analysis and its relation to duality theory. As such, this paper does not contain new results but serves as a hopefully easy introduction to the most important results in duality theory for convex/quasiconvex functions on locally convex real topological vector spaces. Moreover, its connection to optimization is also discussed.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1994

Authors and Affiliations

  • J. G. B. Frenk
    • 1
  • D. M. L. Dias
    • 1
  • J. Gromicho
    • 1
  1. 1.Econometric InstituteErasmus UniversityRotterdamThe Netherlands