Generalized geodesic convex functions on Riemannian manifolds
In the present paper, we introduce the generalized geodesic convex functions on Riemannian manifolds and present some of their properties. Based on these properties, the generalized geodesic star-shaped functions are established. Results obtained in this paper may inspire future research in convex a...
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| Format: | Article |
| Language: | English |
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Institute for Mathematical Research, Universiti Putra Malaysia
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/68373/1/1.%20adem.pdf |
| _version_ | 1825933513835151360 |
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| author | Kilicman, Adem Saleh, Wedad |
| author_facet | Kilicman, Adem Saleh, Wedad |
| author_sort | Kilicman, Adem |
| collection | UPM |
| description | In the present paper, we introduce the generalized geodesic convex functions on Riemannian manifolds and present some of their properties. Based on these properties, the generalized geodesic star-shaped functions are established. Results obtained in this paper may inspire future research in convex analysis on manifolds. |
| first_indexed | 2024-03-06T09:58:27Z |
| format | Article |
| id | upm.eprints-68373 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T09:58:27Z |
| publishDate | 2019 |
| publisher | Institute for Mathematical Research, Universiti Putra Malaysia |
| record_format | dspace |
| spelling | upm.eprints-683732019-05-10T08:33:07Z http://psasir.upm.edu.my/id/eprint/68373/ Generalized geodesic convex functions on Riemannian manifolds Kilicman, Adem Saleh, Wedad In the present paper, we introduce the generalized geodesic convex functions on Riemannian manifolds and present some of their properties. Based on these properties, the generalized geodesic star-shaped functions are established. Results obtained in this paper may inspire future research in convex analysis on manifolds. Institute for Mathematical Research, Universiti Putra Malaysia 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/68373/1/1.%20adem.pdf Kilicman, Adem and Saleh, Wedad (2019) Generalized geodesic convex functions on Riemannian manifolds. Malaysian Journal of Mathematical Sciences, 13 (1). pp. 1-11. ISSN 1823-8343; ESSN: 2289-750X http://einspem.upm.edu.my/journal/fullpaper/vol13no1/1.%20adem.pdf |
| spellingShingle | Kilicman, Adem Saleh, Wedad Generalized geodesic convex functions on Riemannian manifolds |
| title | Generalized geodesic convex functions on Riemannian manifolds |
| title_full | Generalized geodesic convex functions on Riemannian manifolds |
| title_fullStr | Generalized geodesic convex functions on Riemannian manifolds |
| title_full_unstemmed | Generalized geodesic convex functions on Riemannian manifolds |
| title_short | Generalized geodesic convex functions on Riemannian manifolds |
| title_sort | generalized geodesic convex functions on riemannian manifolds |
| url | http://psasir.upm.edu.my/id/eprint/68373/1/1.%20adem.pdf |
| work_keys_str_mv | AT kilicmanadem generalizedgeodesicconvexfunctionsonriemannianmanifolds AT salehwedad generalizedgeodesicconvexfunctionsonriemannianmanifolds |