A Class of G-Semipreinvex Functions and Optimality
A class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. Some characterizations of G-semiprei...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/168172 |
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| _version_ | 1832564152771543040 |
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| author | Xue Wen Liu Ke Quan Zhao Zhe Chen |
| author_facet | Xue Wen Liu Ke Quan Zhao Zhe Chen |
| author_sort | Xue Wen Liu |
| collection | DOAJ |
| description | A class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. Some characterizations of G-semipreinvex functions are also obtained, and some optimality results are given for a class of G-semipreinvex functions. Ours results improve and generalize some known results. |
| format | Article |
| id | doaj-art-d8356671099b40fdaa2c7b3ddad91ab5 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-d8356671099b40fdaa2c7b3ddad91ab52025-02-03T01:11:45ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/168172168172A Class of G-Semipreinvex Functions and OptimalityXue Wen Liu0Ke Quan Zhao1Zhe Chen2Department of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaDepartment of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaDepartment of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaA class of G-semipreinvex functions, which are some generalizations of the semipreinvex functions, and the G-convex functions, is introduced. Examples are given to show their relations among G-semipreinvex functions, semipreinvex functions and G-convex functions. Some characterizations of G-semipreinvex functions are also obtained, and some optimality results are given for a class of G-semipreinvex functions. Ours results improve and generalize some known results.http://dx.doi.org/10.1155/2012/168172 |
| spellingShingle | Xue Wen Liu Ke Quan Zhao Zhe Chen A Class of G-Semipreinvex Functions and Optimality Journal of Applied Mathematics |
| title | A Class of G-Semipreinvex Functions and Optimality |
| title_full | A Class of G-Semipreinvex Functions and Optimality |
| title_fullStr | A Class of G-Semipreinvex Functions and Optimality |
| title_full_unstemmed | A Class of G-Semipreinvex Functions and Optimality |
| title_short | A Class of G-Semipreinvex Functions and Optimality |
| title_sort | class of g semipreinvex functions and optimality |
| url | http://dx.doi.org/10.1155/2012/168172 |
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