Journal of Applied Science and Engineering

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Saba Naser MajeedThis email address is being protected from spambots. You need JavaScript enabled to view it.

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: May 28, 2024

 Copyright The Author(s). This is an open access article distributed under the terms of the Creative Commons Attribution License (CC BY 4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are cited.

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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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