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Semi- -Preinvexity and Optimality in Mathematical Programming

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  • Zai Yun Peng
  • Yong Zhao
  • Kai Zhi Yu
  • Zhi Lin

Abstract

We mainly discuss the properties and applications of semi- -preinvexity, which was introduced in Peng and Chang 2013. Examples are given to show the existence of semi- -preinvex functions. Three important properties and characterizations of semi- -preinvex functions are established. Furthermore, under semi- -preinvexity, some optimality results are obtained in nonlinear programming problems with inequality constraint. Our results improve and generalize some known results.

Suggested Citation

  • Zai Yun Peng & Yong Zhao & Kai Zhi Yu & Zhi Lin, 2014. "Semi- -Preinvexity and Optimality in Mathematical Programming," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-7, April.
    • Handle: RePEc:hin:jnljam:396142
    DOI: 10.1155/2014/396142
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    Cited by:

    1. Anastasis Kratsios, 2019. "Partial Uncertainty and Applications to Risk-Averse Valuation," Papers 1909.13610, arXiv.org, revised Oct 2019.
    2. Panpan Yu & Qingna Li, 2018. "Ordinal Distance Metric Learning with MDS for Image Ranking," Asia-Pacific Journal of Operational Research (APJOR), World Scientific Publishing Co. Pte. Ltd., vol. 35(01), pages 1-19, February.

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