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

C. Fulga and Vasile Preda

European Journal of Operational Research, 2009, vol. 192, issue 3, 737-743

Abstract: 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.

Keywords: (T); Nonlinear; programming; E-invexity; E-preinvexity (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (3)

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