Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions
In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, (h,φ)-pseudoinvex and (h,φ)-quasi-invex, are defined for a vector func...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
|
| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/540746 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832557077444165632 |
|---|---|
| author | GuoLin Yu |
| author_facet | GuoLin Yu |
| author_sort | GuoLin Yu |
| collection | DOAJ |
| description | In the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, (h,φ)-pseudoinvex and (h,φ)-quasi-invex, are defined for a vector function. By utilizing these two classes of functions, some dual theorems are established for conditionally proper
efficient solution in (h,φ)-multiobjective programming problems. |
| format | Article |
| id | doaj-art-202cec0521df42bcb83197d28cceab8a |
| 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-202cec0521df42bcb83197d28cceab8a2025-02-03T05:43:32ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/540746540746Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex FunctionsGuoLin Yu0Research Institute of Information and System Computation Science, Beifang University of Nationalities, Yinchuan 750021, ChinaIn the setting of Ben-Tal's generalized algebraic operations, this paper deals with Mond-Weir type dual theorems of multiobjective programming problems involving generalized invex functions. Two classes of functions, namely, (h,φ)-pseudoinvex and (h,φ)-quasi-invex, are defined for a vector function. By utilizing these two classes of functions, some dual theorems are established for conditionally proper efficient solution in (h,φ)-multiobjective programming problems.http://dx.doi.org/10.1155/2012/540746 |
| spellingShingle | GuoLin Yu Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions Journal of Applied Mathematics |
| title | Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions |
| title_full | Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions |
| title_fullStr | Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions |
| title_full_unstemmed | Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions |
| title_short | Duality of (h,φ)-Multiobjective Programming Involving Generalized Invex Functions |
| title_sort | duality of h φ multiobjective programming involving generalized invex functions |
| url | http://dx.doi.org/10.1155/2012/540746 |
| work_keys_str_mv | AT guolinyu dualityofhphmultiobjectiveprogramminginvolvinggeneralizedinvexfunctions |