Semistrict -Preinvexity and Optimality in Nonlinear Programming

Autor: Z. Y. Peng, Z. Lin, X. B. Li
Jazyk: angličtina
Rok vydání: 2013
Předmět:
Zdroj: Abstract and Applied Analysis, Vol 2013 (2013)
Druh dokumentu: article
ISSN: 1085-3375
1687-0409
DOI: 10.1155/2013/103864
Popis: 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.
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