arXiv subjects

Wedad Saleh

Publications and source records attributed to Wedad Saleh.

2 recordsLinked to original sources

arXiv2018

On Properties of Geodesic Semilocal E-Preinvex Functions

The authors define a class of functions on Riemannian manifolds, which is called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and geodesic semi E-preinvex functions and some of its properties are established. Furthermore, a nonlinear fractional multiobjective programming is considered, where the functions involved are geodesic E-$ η$-semidifferentiability, sufficient optimality conditions are obtained. A dual is formulated and duality results are proved using concepts of geodesic semilocal E-preinvex functions, geodesic pseudo-semilocal E-prinvex functions and geodesic quasi-semilocal E-preinvex functions.

math.DG↗

arXiv2017

Generalized Convex Functions and Their Applications

This study focuses on convex functions and their generalized. Thus, we start this study by giving the definition of convex functions and some of their properties and discussing a simple geometric property. Then we generalize E-convex functions and establish some their properties. Moreover, we give generalized $ s $-convex functions in the second sense and present some new inequalities of generalized Hermite-Hadamard type for the class of functions whose second local fractional derivatives of order $ α$ in absolute value at certain powers are generalized $ s $-convex functions in the second sense. At the end, some examples that these inequalities are able to be applied to some special means are showed.

math.CA↗