A note on the characteristic properties of geodesic sub-(α,b,s)-preinvex functions

In the present paper, we investigate the properties of geodesic sub-(α,b,s)-preinvex functions on Hadamard manifolds and establish some basic properties in both general and differential cases. Furthermore, we explored sufficient conditions of optimal solutions and proved some new inequalities under...

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Bibliographic Details
Main Authors: Saleh, Wedad, Kilicman, Adem
Format: Article
Language:English
Published: Natural Sciences Publishing 2020
Online Access:http://psasir.upm.edu.my/id/eprint/87620/1/ABSTRACT.pdf
http://psasir.upm.edu.my/id/eprint/87620/
https://www.naturalspublishing.com/Article.asp?ArtcID=21400
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Summary:In the present paper, we investigate the properties of geodesic sub-(α,b,s)-preinvex functions on Hadamard manifolds and establish some basic properties in both general and differential cases. Furthermore, we explored sufficient conditions of optimal solutions and proved some new inequalities under geodesic sub-(α,b,s)-preinvexity.