Computation of the Hausdorff Distance between Two Compact Convex Sets

K Lange - Algorithms, 2023 - mdpi.com
The Hausdorff distance between two closed sets has important theoretical and practical
applications. Yet apart from finite point clouds, there appear to be no generic algorithms for …

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 …

Hermite–Hadamard type inequality for (E, F)-convex functions and geodesic (E, F)-convex functions

W Saleh - RAIRO-Operations Research, 2022 - rairo-ro.org
The main aim of the present paper is to introduce geodesic (E, F)-convex sets and geodesic
(E, F)-functions on a Riemannian manifold. Furthermore, some basic properties of these …

On semi strongly (E, F)-convex functions and semi strongly (E, F)-convex optimization problems

SN Majeed, AA Enad - Journal of Physics: Conference Series, 2021 - iopscience.iop.org
In this paper, a new class of non-convex functions called semi strongly (E, F)-convex
functions are presented. This class represents a natural extension of semi strongly E-convex …

(𝓹, 𝔼)-convex sets and (𝓹, 𝔼)-Convex functions with their properties

RI Hazim, SN Majeed - AIP Conference Proceedings, 2023 - pubs.aip.org
In this paper, new classes of (𝓅, 𝔼)− convex sets and (𝓅, 𝔼)− convex functions are
presented by combining the classes of 𝓅-convexity and 𝔼-convexity of sets and functions …

[PDF][PDF] Strongly and Semi Strongly E_h-b-Vex Functions: Applications to Optimization Problems

SN Majeed - Iraqi Journal of Science, 2019 - iasj.net
In this paper, we propose new types of non-convex functions called strongly--vex functions
and semi strongly--vex functions. We study some properties of these proposed functions. As …

[PDF][PDF] Strongly (E, F)-convexity with applications to optimization problems

AA Enad, SN Majeed - Journal of AL-Qadisiyah for computer science and …, 2019 - iasj.net
In this paper, a new class of nonconvex sets and functions called strongly (𝐸, 𝐹)-convex sets
and strongly (𝐸, 𝐹)-convex functions are introduced. This class is considered as a natural …

A study on the continuity of some classes of --convex functions

Z Heydarpour, M Aghajani - Wavelet and Linear Algebra, 2023 - wala.vru.ac.ir
As a generalization of convexity, $ E $-convexity has been defined and studied in many
publications. In this study, we recall the class of $ E $-$\mathbb {Q} $-convex sets, $ E …

Semi Eh-b-preinvexity and its applications to optimization problems

SN Majeed, AA Enad - IOP Conference Series: Materials Science …, 2019 - iopscience.iop.org
In this paper, the class of semi E hb-preinvex and pseudo E hb-preinvex functions are
defined as an extension of EB-preinvex and h-preinvex functions. In this extension the …