Mathematical Programming with (Φ, ρ)-invexity

  • Giuseppe Caristi
  • Massimiliano Ferrara
  • Anton Stefanescu
Part of the Lecture Notes in Economics and Mathematical Systems book series (LNE, volume 583)

Summary

We introduce new invexity-type properties for differentiable functions, generalizing (F, ρ)-convexity. Optimality conditions for nonlinear programming problems are established under such assumptions, extending previously known results. Wolfe and Mond-Weir duals are also considered, and we obtain direct and converse duality theorems.

Key words

Nonlinear programming generalized invexity duality 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • Giuseppe Caristi
    • 1
  • Massimiliano Ferrara
    • 1
  • Anton Stefanescu
    • 2
  1. 1.Faculty of EconomicsUniversity of MessinaMessina
  2. 2.Faculty of Mathematics and Computer ScienceUniversity of BucharestBucharest

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