Hyers-Ulam stability of closed linear relations in Hilbert spaces
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Date
2025
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Publisher
University of Nis
Abstract
This paper introduces the concept of Hyers-Ulam stability for linear relations in normed linear spaces and presents several intriguing results that characterize the Hyers-Ulam stability of closed linear relations in Hilbert spaces. Additionally, sufficient conditions are established under which the sum and product of two Hyers-Ulam stable linear relations remain Hyers-Ulam stable. © 2025, University of Nis. All rights reserved.
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Keywords
Hyers-Ulam stability, Linear relation, reduced minimum modulus
Citation
Filomat, 2025, 39, 23, pp. 7905-7914