Journal of Applied Science and Engineering

Published by Tamkang University Press

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New Class of Generalized Convex Functions and Its Applications to Optimization Problems

 2025

 Volume 28, Issue 4

Saba Naser Majeed

Department of Mathematics, College of Education for Pure Science Ibn Al-Haitham, University of Baghdad, Baghdad, Iraq

Received: January 11, 2024
Accepted: April 9, 2024
Publication Date: April 3, 2026

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In this paper, a new class of generalized convex function called the class of exponentially E-preinvex functions is introduced by combining the classes of exponentially E-convex functions and exponentially preinvex functions. Some important properties and relations are proved, especially those which relate exponentially E-preinvex functions with different γ-level sets and different epigraphs associated with these functions. Also, some optimality properties for nonlinear optimization problems involving exponentially E-preinvex functions are established.

Keywords: E-invex set, preinvex function, exponentially preinvex function, exponentially E-preinvex function.

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