Geodesic locally starshaped G-invex sets and geodesic semilocal preinvex functions

Abstract

In this paper, we introduce a new class of sets and functions, namely geodesic locally starshaped G-invex sets and geodesic semilocal preinvex functions on Riemannian manifolds. We study the properties of these classes of sets and functions and derive certain characterizations. The results of the paper extend and unify several known results from literature to a more general class of functions as well as in more general space setting