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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| _version_ | 1832551399470137344 |
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| author | Z. Y. Peng Z. Lin X. B. Li |
| author_facet | Z. Y. Peng Z. Lin X. B. Li |
| author_sort | Z. Y. Peng |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-73de7f4a2ccb414cb52befcaa5ffea57 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-73de7f4a2ccb414cb52befcaa5ffea572025-02-03T06:01:30ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/103864103864Semistrict -Preinvexity and Optimality in Nonlinear ProgrammingZ. Y. Peng0Z. Lin1X. B. Li2College of Science, Chongqing JiaoTong University, Chongqing 400074, ChinaCollege of Science, Chongqing JiaoTong University, Chongqing 400074, ChinaCollege of Science, Chongqing JiaoTong University, Chongqing 400074, ChinaA 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.http://dx.doi.org/10.1155/2013/103864 |
| spellingShingle | Z. Y. Peng Z. Lin X. B. Li Semistrict -Preinvexity and Optimality in Nonlinear Programming Abstract and Applied Analysis |
| title | Semistrict -Preinvexity and Optimality in Nonlinear Programming |
| title_full | Semistrict -Preinvexity and Optimality in Nonlinear Programming |
| title_fullStr | Semistrict -Preinvexity and Optimality in Nonlinear Programming |
| title_full_unstemmed | Semistrict -Preinvexity and Optimality in Nonlinear Programming |
| title_short | Semistrict -Preinvexity and Optimality in Nonlinear Programming |
| title_sort | semistrict preinvexity and optimality in nonlinear programming |
| url | http://dx.doi.org/10.1155/2013/103864 |
| work_keys_str_mv | AT zypeng semistrictpreinvexityandoptimalityinnonlinearprogramming AT zlin semistrictpreinvexityandoptimalityinnonlinearprogramming AT xbli semistrictpreinvexityandoptimalityinnonlinearprogramming |