Remarks on New Properties of Preinvex Functions

Zaiyun Peng, Yawei Liu, X. J. Long

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.


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Modern Applied Science   ISSN 1913-1844 (Print)   ISSN 1913-1852 (Online)

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