Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 1016.90056
Yang, Xinmin; Li, Duan
On properties of preinvex functions. (English)
[J] J. Math. Anal. Appl. 256, No.1, 229-241 (2001). ISSN 0022-247X

Summary: We consider in this paper the class of preinvex functions introduced by {\it T. Weir} and {\it B. Mond} [ibid. 136, 29-38 (1988; Zbl 0663.90087)]; {\it T. Weir} and {\it 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.

MSC 2000:: *90C30 Nonlinear programming

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

Citations: Zbl 0663.90087; Zbl 0639.90082

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Article Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]