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Research Article | Open Access

Special type convex functions on Riemannian manifolds with application

Ehtesham Akhter1, Musavvir Ali1( ), Mohd Bilal2
Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India
Department of Mathematical Sciences, Faculty of Applied Sciences, Umm Al Qura University, Makkah, 21955, KSA
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Abstract

In this manuscript, we define a special type convex function on Euclidean space and explore it on the Riemannian manifold. We also detail the fundamental properties of special type convex functions and some examples that illustrate the idea. Moreover, to demonstrate the application to the problems of optimization, these special type convex functions are used.

Keywords

special type convexityspecial subgradientinequalityoptimizationmanifolds
CLC number: 52A20, 52A41, 53C20, 53C22

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AIMS Mathematics
Volume 8 Issue 7,
July 2023
Pages 15081-15091
DOI: 10.3934/math.2023770

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Cite this article:
Akhter E, Ali M, Bilal M. Special type convex functions on Riemannian manifolds with application. AIMS Mathematics, 2023, 8(7): 15081-15091. https://doi.org/10.3934/math.2023770

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Received: 28 January 2023
Revised: 24 March 2023
Accepted: 06 April 2023
Published: 15 July 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)