On geodesic strongly E-convex sets and geodesic strongly E-convex functions

In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed. The results obtained in this...

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Main Authors: Kilicman, Adem, Saleh, Wedad
Format: Article
Language:English
Published: SpringerOpen 2015
Online Access:http://psasir.upm.edu.my/id/eprint/51925/
http://psasir.upm.edu.my/id/eprint/51925/1/51925.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 this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed. The results obtained in this article may inspire future research in convex analysis and related optimization fields.
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institution Universiti Putra Malaysia
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language English
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spelling upm-519252017-05-03T04:43:37Z http://psasir.upm.edu.my/id/eprint/51925/ On geodesic strongly E-convex sets and geodesic strongly E-convex functions Kilicman, Adem Saleh, Wedad In this article, geodesic E-convex sets and geodesic E-convex functions on a Riemannian manifold are extended to the so-called geodesic strongly E-convex sets and geodesic strongly E-convex functions. Some properties of geodesic strongly E-convex sets are also discussed. The results obtained in this article may inspire future research in convex analysis and related optimization fields. SpringerOpen 2015 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/51925/1/51925.pdf Kilicman, Adem and Saleh, Wedad (2015) On geodesic strongly E-convex sets and geodesic strongly E-convex functions. Journal of Inequalities and Applications, 2015 (1). art. no. 297. pp. 1-10. ISSN 1025-5834; ESSN: 1029-242X http://rd.springer.com/article/10.1186/s13660-015-0824-z 10.1186/s13660-015-0824-z
spellingShingle Kilicman, Adem
Saleh, Wedad
On geodesic strongly E-convex sets and geodesic strongly E-convex functions
title On geodesic strongly E-convex sets and geodesic strongly E-convex functions
title_full On geodesic strongly E-convex sets and geodesic strongly E-convex functions
title_fullStr On geodesic strongly E-convex sets and geodesic strongly E-convex functions
title_full_unstemmed On geodesic strongly E-convex sets and geodesic strongly E-convex functions
title_short On geodesic strongly E-convex sets and geodesic strongly E-convex functions
title_sort on geodesic strongly e-convex sets and geodesic strongly e-convex functions
url http://psasir.upm.edu.my/id/eprint/51925/
http://psasir.upm.edu.my/id/eprint/51925/
http://psasir.upm.edu.my/id/eprint/51925/
http://psasir.upm.edu.my/id/eprint/51925/1/51925.pdf