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Remarks on New Properties of Preinvex Functions

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  • 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.

Suggested Citation

  • Zaiyun Peng & Yawei Liu & X. J. Long, 2009. "Remarks on New Properties of Preinvex Functions," Modern Applied Science, Canadian Center of Science and Education, vol. 3(11), pages 1-11, November.
    • Handle: RePEc:ibn:masjnl:v:3:y:2009:i:11:p:11
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    References listed on IDEAS

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    1. X.M. Yang & X.Q. Yang & K.L. Teo, 2003. "Generalized Invexity and Generalized Invariant Monotonicity," Journal of Optimization Theory and Applications, Springer, vol. 117(3), pages 607-625, June.
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    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

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