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On Characterizations of Prequasi-Invex Functions

Author

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  • H. Z. Luo
  • Z. K. Xu

Abstract

In Ref. 1, Yang et al presented characterizations of prequasi-invex functions, semistrictly prequasi-invex functions, and strictly prequasi-invex functions, respectively, under a certain set of conditions. In this note, we show that the same results or even more general ones can be obtained under weaker assumptions.

Suggested Citation

  • H. Z. Luo & Z. K. Xu, 2004. "On Characterizations of Prequasi-Invex Functions," Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 429-439, February.
    • Handle: RePEc:spr:joptap:v:120:y:2004:i:2:d:10.1023_b:jota.0000015930.47489.b7
    DOI: 10.1023/B:JOTA.0000015930.47489.b7
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    Cited by:

    1. Y. X. Zhao & S. Y. Wang & L. Coladas Uria, 2010. "Characterizations of r-Convex Functions," Journal of Optimization Theory and Applications, Springer, vol. 145(1), pages 186-195, April.
    2. H. Z. Luo & H. X. Wu, 2008. "On the Characterization of Preinvex Functions," Journal of Optimization Theory and Applications, Springer, vol. 138(2), pages 297-304, August.
    3. D. L. Zhu & L. L. Zhu & Q. Xu, 2008. "Generalized Invex Monotonicity and Its Role in Solving Variational-Like Inequalities," Journal of Optimization Theory and Applications, Springer, vol. 137(2), pages 453-464, May.

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