In this paper we introduce a new definition of an E-differentiable convex function, which transforms a non-differentiable function to a differentiable function under an operator E: R …
As a generalization of geodesic function, in the present paper, we introduce the notion of geodesic $\varphi $-convex function and deduce some basic properties of $\varphi $-convex …
A Iqbal, A Hussain - RAIRO-Operations Research, 2022 - rairo-ro.org
The concepts of strongly E-invex sets, strongly E-invex, strongly E-preinvex, and strongly pseudo E-preinvex functions are introduced in this paper. We have included several non …
A Kılıçman, W Saleh - Journal of inequalities and applications, 2018 - Springer
The authors define a class of functions on Riemannian manifolds, which are called geodesic semilocal E-preinvex functions, as a generalization of geodesic semilocal E-convex and …
A Hussain, A Iqbal - Nonlinear Functional Analysis and …, 2021 - nfaa.kyungnam.ac.kr
In this article, we introduce the quasi strongly E-convex function and pseudo strongly E- convex function on strongly E-convex set which generalizes strongly E-convex function …
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 …
As a generalization of a geodesic function, this paper introduces the notion of the geodesic φ E-convex function. Some properties of the φ E-convex function and geodesic φ E-convex …
A Iqbal, I Ahmad - Numerical Functional Analysis and Optimization, 2019 - Taylor & Francis
Strong geodesic convex function and strong monotone vector field of order m on Riemannian manifolds are established. A characterization of strong geodesic convex …