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Generalized Convexity and Related Topics pp 167–176Cite as

Mathematical Programming with (Φ, ρ)-invexity

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Part of the book series: Lecture Notes in Economics and Mathematical Systems ((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.

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References

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Authors and Affiliations

  1. Faculty of Economics, University of Messina, Messina

    Giuseppe Caristi & Massimiliano Ferrara

  2. Faculty of Mathematics and Computer Science, University of Bucharest, Bucharest

    Anton Stefanescu

Authors
  1. Giuseppe Caristi
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  2. Massimiliano Ferrara
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  3. Anton Stefanescu
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© 2007 Springer-Verlag Berlin Heidelberg

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Caristi, G., Ferrara, M., Stefanescu, A. (2007). Mathematical Programming with (Φ, ρ)-invexity. In: Generalized Convexity and Related Topics. Lecture Notes in Economics and Mathematical Systems, vol 583. Springer, Berlin, Heidelberg . https://doi.org/10.1007/978-3-540-37007-9_9

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