Some properties of semi (p, e)-convexity

Hazim, Rivan Emad; Majeed, Saba Naser

doi:10.47974/JIM-1481

Open Access Research Article

Some properties of semi (p, e)-convexity

^*Rivan Emad HazimCorresponding authorrivan.emad1203a@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn-Al-Haitham)University of BaghdadBaghdad, IraqView full profile → , Saba Naser Majeedsaba.n.m@ihcoedu.uobaghdad.edu.iqDepartment of MathematicsCollege of Education for Pure Science (Ibn-Al-Haitham)University of BaghdadBaghdad, IraqView full profile →

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pp. 629–635Vol. 26Issue 4June 2023DOI: 10.47974/JIM-1481XML

Received:: 01 Feb 2022
Accepted:: 01 Mar 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JIM-1481
Pages:: 629–635

Abstract

In this paper, we present a new class of functions called semi (p, e)-convex functions which represent a combination of p- convex and semi e-convex functions. We discuss some important properties and characteristics of this class. For applying this class of new functions to optimize programming, we present some optimality properties such that the cost function of the optimization programming is semi (p, e)-convex and the set of constraints is (p, e)-convex.

Keywords

(p e)-convex set (p e)-convex function Semi (p e)-convex function Nonlinear optimization problem

Subject Classifications

46N1047N1090C4890C9049K27

References

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