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


Citation

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

Abstract

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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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
DOI Number: https://doi.org/10.1186/s13660-015-0824-z
Publisher: SpringerOpen
Keywords: Geodesic E-convex functions; Geodesic E-convex sets; Riemannian manifolds
Depositing User: Nabilah Mustapa
Date Deposited: 03 May 2017 04:43
Last Modified: 03 May 2017 04:43
Altmetrics: http://www.altmetric.com/details.php?domain=psasir.upm.edu.my&doi=10.1186/s13660-015-0824-z
URI: http://psasir.upm.edu.my/id/eprint/51925
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