On properties of geodesic semilocal E-preinvex functions
The authors define a class of functions on Riemannian manifolds, which are calledgeodesic semilocal E-preinvex functions, as a generalization of geodesic semilocalE-convex and geodesic semi E-preinvex functions, and some of its properties areestablished. Furthermore, a nonlinear fractional multiobje...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer Open
2018
|
| Online Access: | http://psasir.upm.edu.my/id/eprint/75128/1/On%20properties%20of%20geodesic%20semilocal.pdf |
| _version_ | 1796979802523041792 |
|---|---|
| author | Kilicman, Adem Saleh, Wedad |
| author_facet | Kilicman, Adem Saleh, Wedad |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | The authors define a class of functions on Riemannian manifolds, which are calledgeodesic semilocal E-preinvex functions, as a generalization of geodesic semilocalE-convex and geodesic semi E-preinvex functions, and some of its properties areestablished. Furthermore, a nonlinear fractional multiobjective programming isconsidered, where the functions involved are geodesic E-η-semidifferentiability,sufficient optimality conditions are obtained. A dual is formulated and duality resultsare proved by using concepts of geodesic semilocal E-preinvex functions, geodesicpseudo-semilocal E-preinvex functions, and geodesic quasi-semilocal E-preinvexfunctions. |
| first_indexed | 2024-03-06T10:14:16Z |
| format | Article |
| id | upm.eprints-75128 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:14:16Z |
| publishDate | 2018 |
| publisher | Springer Open |
| record_format | dspace |
| spelling | upm.eprints-751282019-11-20T04:43:02Z http://psasir.upm.edu.my/id/eprint/75128/ On properties of geodesic semilocal E-preinvex functions Kilicman, Adem Saleh, Wedad The authors define a class of functions on Riemannian manifolds, which are calledgeodesic semilocal E-preinvex functions, as a generalization of geodesic semilocalE-convex and geodesic semi E-preinvex functions, and some of its properties areestablished. Furthermore, a nonlinear fractional multiobjective programming isconsidered, where the functions involved are geodesic E-η-semidifferentiability,sufficient optimality conditions are obtained. A dual is formulated and duality resultsare proved by using concepts of geodesic semilocal E-preinvex functions, geodesicpseudo-semilocal E-preinvex functions, and geodesic quasi-semilocal E-preinvexfunctions. Springer Open 2018-12 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/75128/1/On%20properties%20of%20geodesic%20semilocal.pdf Kilicman, Adem and Saleh, Wedad (2018) On properties of geodesic semilocal E-preinvex functions. Journal of Inequalities and Applications, 353. pp. 1-13. ISSN 1025-5834; ESSN:1029-242X https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/s13660-018-1944-z#citeas 10.1186/s13660-018-1944-z |
| spellingShingle | Kilicman, Adem Saleh, Wedad On properties of geodesic semilocal E-preinvex functions |
| title | On properties of geodesic semilocal E-preinvex functions |
| title_full | On properties of geodesic semilocal E-preinvex functions |
| title_fullStr | On properties of geodesic semilocal E-preinvex functions |
| title_full_unstemmed | On properties of geodesic semilocal E-preinvex functions |
| title_short | On properties of geodesic semilocal E-preinvex functions |
| title_sort | on properties of geodesic semilocal e preinvex functions |
| url | http://psasir.upm.edu.my/id/eprint/75128/1/On%20properties%20of%20geodesic%20semilocal.pdf |
| work_keys_str_mv | AT kilicmanadem onpropertiesofgeodesicsemilocalepreinvexfunctions AT salehwedad onpropertiesofgeodesicsemilocalepreinvexfunctions |