Semistrict -Preinvexity and Optimality in Nonlinear Programming
Autor: | Z. Y. Peng, Z. Lin, X. B. Li |
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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. |
Databáze: | Directory of Open Access Journals |
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