Some properties of geodesic E-preinvex function and geodesic semi E-preinvex function on Riemannian manifolds

摘要

In the present paper, the notion of geodesic E -preinvex function and geodesic semi E -preinvex function are introduced on Riemannian manifold. Moreover, several properties, results and relations are studied within aforesaid functions. An example is also constructed to illustrate the definition of geodesic E -preinvex function. In addition, we have studied the optimality results with the help of geodesic E -preinvex and geodesic semi E -preinvex functions.