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Semistrict -Preinvexity and Optimality in Nonlinear Programming

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  • Z. Y. Peng
  • Z. Lin
  • X. B. Li

Abstract

A class of semistrictly -preinvex functions and optimality in nonlinear programming are further discussed. Firstly, the relationships between semistrictly -preinvex functions and -preinvex functions are further discussed. Then, two interesting properties of semistrictly -preinvexity are given. Finally, two optimality results for nonlinear programming problems are obtained under the assumption of semistrict -preinvexity. The obtained results are new and different from the corresponding ones in the literature. Some examples are given to illustrate our results.

Suggested Citation

  • Z. Y. Peng & Z. Lin & X. B. Li, 2013. "Semistrict -Preinvexity and Optimality in Nonlinear Programming," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-7, May.
    • Handle: RePEc:hin:jnlaaa:103864
    DOI: 10.1155/2013/103864
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