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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Main Authors: Kilicman, Adem, Saleh, Wedad
Format: Article
Language:English
Published: Institute for Mathematical Research, Universiti Putra Malaysia 2019
Online Access:http://psasir.upm.edu.my/id/eprint/68373/
http://psasir.upm.edu.my/id/eprint/68373/1/1.%20adem.pdf
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author Kilicman, Adem
Saleh, Wedad
author_facet Kilicman, Adem
Saleh, Wedad
author_sort Kilicman, Adem
building UPM Institutional Repository
collection Online Access
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.
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format Article
id upm-68373
institution Universiti Putra Malaysia
institution_category Local University
language English
last_indexed 2025-11-15T11:36:25Z
publishDate 2019
publisher Institute for Mathematical Research, Universiti Putra Malaysia
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spelling upm-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/
http://psasir.upm.edu.my/id/eprint/68373/
http://psasir.upm.edu.my/id/eprint/68373/1/1.%20adem.pdf