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Yang, Xinmin; Li, Duan

On properties of preinvex functions. (English) Zbl 1016.90056

J. Math. Anal. Appl. 256, No. 1, 229-241 (2001).
Summary: We consider in this paper the class of preinvex functions introduced by T. Weir and B. Mond [ibid. 136, 29-38 (1988; Zbl 0663.90087)]; T. Weir and V. Jeyakumar [Bull. Aust. Math. Soc. 38, 177-189 (1988; Zbl 0639.90082)]. Under semi-continuity conditions, a determination of the satisfaction of preinvexity for a function can be achieved via an intermediate-point preinvexity check. A characterization of a preinvex function in terms of its relationship with an intermediate-point preinvexity and prequasi-invexity is provided.

Cited in 52 Documents

MSC:

90C30 Nonlinear programming

Keywords:

invex et; preinvex function; prequasi-invex function; semicontinuous function

Citations:

Zbl 0663.90087; Zbl 0639.90082
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Full Text: DOI

References:

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