Faculty Publications
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Item Hyers-Ulam stability of linear operators in Frechet spaces(2012) Johnson, P.S.; Balaji, S.Hyers-Ulam stability of a linear operator between Frechet spaces is defined. Necessary and sufficient conditions for the existence of Hyers-Ulam stability of a continuous linear operator from a Frechet space to another Frechet space are given. © 2012 NSP Natural Sciences Publishing Cor.Item Hyers-Ulam stability of an iterative equation for strictly increasing continuous functions(Birkhauser, 2023) Palanivel, R.; Murugan, V.The Hyers-Ulam stability of the iterative equation fn= F for continuous functions F was studied under the assumptions that F is a homeomorphism on its range, and the equation has stability on its range. It is important to study the stability of the equation for homeomorphisms on intervals. In this paper, theorems on stability are obtained using the properties of monotonic approximate solutions. The method is based on the stability of two derived iterative equations. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.Item Hyers-Ulam stability of closed linear relations in Hilbert spaces(University of Nis, 2025) Majumdar, A.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.