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

  • Saba Nasser Majeed Department of Mathematics, College of Education for Pure Science (Ibn-Haitham), University of Baghdad, Baghdad, Iraq
Keywords: E-convex functions, strongly E-convex set, strongly E_h-b-vex sets, strongly E_h-b-vex functions, semi strongly E_h-b-vex functions

Abstract

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 an application of these functions in optimization problems, we discuss some optimality properties of the generalized nonlinear optimization problem for which we use, as an objective function, strongly --vex function and semi strongly --vex function.

Published
2019-09-29
How to Cite
Majeed, S. N. (2019). Strongly and Semi Strongly E_h-b-Vex Functions: Applications to Optimization Problems. Iraqi Journal of Science, 60(9), 2022-2029. https://doi.org/10.24996/ijs.2019.60.9.16
Section
Mathematics