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.
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