Preprint
Article
On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex
This version is not peer-reviewed.
Submitted:
26 October 2019
Posted:
27 October 2019
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Abstract
In the present work we study the properties of geodesic sub-$ (\alpha,b,s) $-preinvex functions on Hadamard manifolds and establish some basic properties in both general and differential cases. Further, we study sufficient conditions of optimality and proved some new inequalities under geodesic sub-($ \alpha,b,s $)-preinvexity.
Keywords:
E-convex sets
; preinvex
; E-convex functions
; geodesic
; sub-preinvex
; Riemannian manifolds
; Hadamard manifolds.
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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