Wedad Saleh

On geodesic semi strongly E-convex functions

Abstract In this article, a new class of function called geodesic semi strongly E-convex functions and generalized geodesic semi strongly E-convex functions are introduced. Also, some of their properties are obtained.

A Note on Starshaped Sets in 2-Dimensional Manifolds without Conjugate Points

Let be complete, simply connected n-dimensional Riemannian manifolds without conjugate points. Assume that is starshaped where . For every point , define : y lies on some geodesic segment in S from x to a point of kerS. There is a finite collection of all maximal sets whose union is S. Further, ker in .

Some properties of geodesic semi E-b-vex functions

Abstract In this study, we introduce a new class of function called geodesic semi E-b-vex functions and generalized geodesic semi E-b-vex functions and discuss some of their properties.