On generalized pseudoconvex functions. (English) Zbl 0685.90089

Tanaka, Yoshihiro; Fukushima, Masao; Ibaraki, Toshihide

J. Math. Anal. Appl. 144, No. 2, 342-355 (1989).

Summary: The concept of pseudoconvexity is generalized in three different ways and the interrelation of them is investigated. For constrained optimization, sufficiency of Kuhn-Tucker optimality conditions is derived under some assumptions which do not require the generalized pseudoconvexity of the Lagrangian itself.

MSC:

90C30	Nonlinear programming
49J52	Nonsmooth analysis
26B25	Convexity of real functions of several variables, generalizations
49K99	Optimality conditions

Keywords:

nonsmooth nonconvex functions; pseudoconvexity; constrained optimization; sufficiency of Kuhn-Tucker optimality conditions

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