[PDF][PDF] E-optimality conditions and Wolfe E-duality for E-differentiable vector optimization problems with inequality and equality constraints

T Antczak, N Abdulaleem - J. Nonlinear Sci. Appl, 2019 - researchgate.net
In this paper, a nonconvex vector optimization problem with both inequality and equality
constraints is considered. The functions constituting it are not necessarily differentiable, but …

Optimality conditions of E-convex programming for an E-differentiable function

AEMA Megahed, HG Gomma, EA Youness… - Journal of Inequalities …, 2013 - Springer
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 …

Some results on --convex functions and geodesic -convex functions

AA Shaikh, A Iqbal, CK Mondal - arXiv preprint arXiv:1706.05841, 2017 - arxiv.org
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 …

Nonlinear programming problem for strongly E-invex sets and strongly E-preinvex functions

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 …

On properties of geodesic semilocal E-preinvex functions

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 …

Quasi strongly E-convex functions with applications

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 …

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

B Kumari, A Jayswal - Opsearch, 2018 - Springer
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 …

On geodesic semi strongly E-convex functions

A Kiliçman, W Saleh - Journal of Interdisciplinary Mathematics, 2016 - Taylor & Francis
On geodesic semi strongly E-convex functions Page 1 © On geodesic semi strongly E-convex
functions Adem Kiliçman Wedad Saleh * Department of Mathematics Putra University of …

New generalization of geodesic convex function

OB Almutairi, W Saleh - Axioms, 2023 - mdpi.com
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 …

Strong Geodesic Convex Functions of Order m

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 …