Vector optimization with cone semilocally preinvex functions
In this paper we introduce cone semilocally preinvex, cone semilocally quasi preinvex and cone semilocally pseudo preinvex functions and study their properties. These functions are further used to establish necessary and sufficient optimality conditions for a vector minimization problem over cones....
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Balikesir University
2014-01-01
|
| Series: | An International Journal of Optimization and Control: Theories & Applications |
| Subjects: | |
| Online Access: | http://ijocta.balikesir.edu.tr/index.php/files/article/view/162/83 |
| _version_ | 1797907141782142976 |
|---|---|
| author | Surjeet Kaur Suneja Meetu Bhatia |
| author_facet | Surjeet Kaur Suneja Meetu Bhatia |
| author_sort | Surjeet Kaur Suneja |
| collection | DOAJ |
| description | In this paper we introduce cone semilocally preinvex, cone semilocally quasi preinvex and cone semilocally pseudo preinvex functions and study their properties. These functions are further used to establish necessary and sufficient optimality conditions for a vector minimization problem over cones. A Mond-Weir type dual is formulated for the vector optimization problem and various duality theorems are proved. |
| first_indexed | 2024-04-10T10:31:52Z |
| format | Article |
| id | doaj.art-3671e7fb2a444d42a77de4b7ec475935 |
| institution | Directory Open Access Journal |
| issn | 2146-0957 2146-5703 |
| language | English |
| last_indexed | 2024-04-10T10:31:52Z |
| publishDate | 2014-01-01 |
| publisher | Balikesir University |
| record_format | Article |
| series | An International Journal of Optimization and Control: Theories & Applications |
| spelling | doaj.art-3671e7fb2a444d42a77de4b7ec4759352023-02-15T16:21:05ZengBalikesir UniversityAn International Journal of Optimization and Control: Theories & Applications2146-09572146-57032014-01-01411120Vector optimization with cone semilocally preinvex functionsSurjeet Kaur SunejaMeetu BhatiaIn this paper we introduce cone semilocally preinvex, cone semilocally quasi preinvex and cone semilocally pseudo preinvex functions and study their properties. These functions are further used to establish necessary and sufficient optimality conditions for a vector minimization problem over cones. A Mond-Weir type dual is formulated for the vector optimization problem and various duality theorems are proved.http://ijocta.balikesir.edu.tr/index.php/files/article/view/162/83Vector optimizationsemilocally preinvex functionsconesoptimalityduality |
| spellingShingle | Surjeet Kaur Suneja Meetu Bhatia Vector optimization with cone semilocally preinvex functions An International Journal of Optimization and Control: Theories & Applications Vector optimization semilocally preinvex functions cones optimality duality |
| title | Vector optimization with cone semilocally preinvex functions |
| title_full | Vector optimization with cone semilocally preinvex functions |
| title_fullStr | Vector optimization with cone semilocally preinvex functions |
| title_full_unstemmed | Vector optimization with cone semilocally preinvex functions |
| title_short | Vector optimization with cone semilocally preinvex functions |
| title_sort | vector optimization with cone semilocally preinvex functions |
| topic | Vector optimization semilocally preinvex functions cones optimality duality |
| url | http://ijocta.balikesir.edu.tr/index.php/files/article/view/162/83 |
| work_keys_str_mv | AT surjeetkaursuneja vectoroptimizationwithconesemilocallypreinvexfunctions AT meetubhatia vectoroptimizationwithconesemilocallypreinvexfunctions |