Fuzzy Control Problem via Random Multi-Valued Equations in Symmetric F-<i>n</i>-NLS

Reza Saadati; Tofigh Allahviranloo; Donal O’Regan; Fehaid Salem Alshammari

doi:10.3390/sym14091778

Symmetry (Aug 2022)

Fuzzy Control Problem via Random Multi-Valued Equations in Symmetric F-<i>n</i>-NLS

Reza Saadati,
Tofigh Allahviranloo,
Donal O’Regan,
Fehaid Salem Alshammari

Affiliations

Reza Saadati: School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 13114-16846, Iran
Tofigh Allahviranloo: Faculty of Engineering and Natural Sciences, Istinye University, Istanbul 34710, Turkey
Donal O’Regan: School of Mathematical and Statistical Sciences, National University of Ireland, Galway, University Road, H91 TK33 Galway, Ireland
Fehaid Salem Alshammari: Department of Mathematics and Statistics, Faculty of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh 11432, Saudi Arabia

DOI: https://doi.org/10.3390/sym14091778
Journal volume & issue: Vol. 14, no. 9
p. 1778

Abstract

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To study an uncertain case of a control problem, we consider the symmetric F-n-NLS which is induced by a dynamic norm inspired by a random norm, distribution functions, and fuzzy sets. In this space, we consider a random multi-valued equation containing a parameter and investigate existence, and unbounded continuity of the solution set of it. As an application of our results, we consider a control problem with multi-point boundary conditions and a second order derivative operator.

Published in Symmetry

ISSN: 2073-8994 (Online)
Publisher: MDPI AG
Country of publisher: Switzerland
LCC subjects: Science: Mathematics
Website: http://www.mdpi.com/journal/symmetry/

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