On Weak Variational Control Inequalities via Interval Analysis-Reference-Cited by-同舟云学术

On Weak Variational Control Inequalities via Interval Analysis

Published:2023-05-05 Issue:9 Volume:11 Page:2177
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Treanţă Savin¹²³^ORCID,Saeed Tareq⁴^ORCID

Affiliation:

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

2. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania

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

4. Financial Mathematics and Actuarial Science (FMAS)—Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

This paper deals with the connections between the interval-valued optimal control problem and the associated weak variational control inequality. More precisely, by considering the (strictly) LU-convexity and path independence properties of the involved curvilinear integral functionals, we establish a result on the existence of LU-optimal solutions for the interval-valued optimal control problem under study, and a result on the existence of solutions for the associated weak variational control inequality.

Publisher

MDPI AG

Subject

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

Link

https://www.mdpi.com/2227-7390/11/9/2177/pdf

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