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