Connections between Non-Linear Optimization Problems and Associated Variational Inequalities-Reference-Cited by-同舟云学术

Connections between Non-Linear Optimization Problems and Associated Variational Inequalities

Published:2023-03-08 Issue:6 Volume:11 Page:1314
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Treanţă Savin¹²³^ORCID,Antczak Tadeusz⁴^ORCID,Saeed Tareq⁵^ORCID

Affiliation:

1. Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

2. Academy of Romanian Scientists, 050094 Bucharest, Romania

3. Fundamental Sciences Applied in Engineering-Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania

4. Faculty of Mathematics and Computer Science, University of Lodz, Banacha 22, 90-238 Lodz, Poland

5. Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia

Abstract

In this paper, by using the invexity (or pseudoinvexity) and Fréchet differentiability of some integral functionals of curvilinear type, we state some relations between the solutions of a new non-linear optimization problem and the associated variational inequality. In order to prove the results derived in this paper, we use the new notion of invex set by considering some given functions. To justify the effectiveness and outstanding applicability of this work, some illustrative examples are provided.

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/6/1314/pdf

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