Nonlinear programming with E-preinvex and local E-preinvex functions

Nonlinear programming with E-preinvex and local E-preinvex functions

In this paper, we extend the class of E-convex sets, E-convex and E-quasiconvex functions introduced by [Youness, E.A., 1999. E-convex sets, E-convex functions and E-convex programming. Journal of Optimization Theory and Applications 102, 439–450], respectively by [Syau, Yu-Ru, Lee, E. Stanley, 2005...

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Veröffentlicht in:European journal of operational research 2009-02, Vol.192 (3), p.737-743
Hauptverfasser: Fulga, C., Preda, V.
Format: Artikel
Sprache:eng
Schlagworte:
(T) Nonlinear programming
(T) Nonlinear programming E-invexity E-preinvexity
Applied sciences
Convex analysis
E-invexity
E-preinvexity
Exact sciences and technology
Mathematical functions
Mathematical programming
Nonlinear programming
Operational research and scientific management
Operational research. Management science
Optimization
Studies
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Beschreibung
Zusammenfassung:In this paper, we extend the class of E-convex sets, E-convex and E-quasiconvex functions introduced by [Youness, E.A., 1999. E-convex sets, E-convex functions and E-convex programming. Journal of Optimization Theory and Applications 102, 439–450], respectively by [Syau, Yu-Ru, Lee, E. Stanley, 2005. Some properties of E-convex functions. Applied Mathematics Letters 18, 1074–1080] to E-invex set, E-preinvex, E-prequasiinvex and corresponding local concepts. Some properties of these classes are studied. As an application of our results, we consider the nonlinear programming problem for which, we establish that, under mild conditions, a local minimum is a global minimum.
ISSN:0377-2217
1872-6860
DOI:10.1016/j.ejor.2007.11.056