Some properties of geodesic $(α,E)$-preinvex functions on a Riemannian manifold
In this article, we have introduced the concept of \textit{geodesic $(α,E)$-invex set} and by using this concept the notion of \textit{geodesic $(α,E)$-preinvex functions} and \textit{geodesic $(α,E)$-invex functions} are developed on a Riemannian manifold. Moreover, several properties and results are deduced within aforesaid functions. An example is also constructed to illustrate the definition of geodesic $(α,E)$-invex set. We have also established an important relation between geodesic $(α,E)$-preinvex function and geodesic $(α,E)$-invex function in a complete Riemannian manifold.
math.DG↗