Explores Hyers-Ulam stability in closed linear relations, indicating key conditions for stability.
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.
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Arup Majumdar (2025) studied this question.
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