Mathematical Programming with (Φ, ρ)-invexity

Giuseppe Caristi (), Massimiliano Ferrara () and Anton Stefanescu ()
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Giuseppe Caristi: University of Messina
Massimiliano Ferrara: University of Messina
Anton Stefanescu: University of Bucharest

A chapter in Generalized Convexity and Related Topics, 2007, pp 167-176 from Springer

Abstract: 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.

Keywords: Nonlinear programming; generalized invexity; duality (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:lnechp:978-3-540-37007-9_9

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DOI: 10.1007/978-3-540-37007-9_9

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