Remarks on New Properties of Preinvex Functions

Zaiyun Peng, Yawei Liu and X. J. Long

Modern Applied Science, 2009, vol. 3, issue 11, 11

Abstract: A new type of generalized convex functions, termed preinvex functions, is further discussed in this paper. A new result that if a preinvex function satisfies intermediate-point semistrict preinvexity then it is also a semistrictly preinvex function is obtained. Furthermore, another simplified proof for a criterion of preinvex functions under weaker conditions and an impotant application of preinvex functions are given.

Date: 2009
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