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.
Citation
Z. Y. Peng. Z. Lin. X. B. Li. "Semistrict -Preinvexity and Optimality in Nonlinear Programming." Abstr. Appl. Anal. 2013 1 - 7, 2013. https://doi.org/10.1155/2013/103864
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