On Weak Variational Control Inequalities via Interval Analysis

Savin Treanţă () and Tareq Saeed ()
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Tareq Saeed: Financial Mathematics and Actuarial Science (FMAS)—Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 9, 1-11

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.

Keywords: LU -convexity; path independence; LU -optimal solution; weak variational control inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:9:p:2177-:d:1140017

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