Semistrict -Preinvexity and Optimality in Nonlinear Programming
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. Final...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/103864 |
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| Summary: | 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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| ISSN: | 1085-3375 1687-0409 |