Găvruţa, P.; Hossu, M.; Popescu, D.; Căprău, C. On the stability of mappings and an answer to a problem of Th. M. Rassias. (English) Zbl 0853.46036 Ann. Math. Blaise Pascal 2, No. 2, 55-60 (1995). Summary: The main purpose of this paper is to prove a theorem concerning the Hyers-Ulam stability of mappings, which gives a generalization of the results from [the first author, J. Math. Anal. Appl. 184, No. 3, 431-436 (1994; Zbl 0818.46043)] and [Th. M. Rassias, ibid. 158, No. 1, 106-113 (1991; Zbl 0746.46038)]. It also answers a problem posed by Th. M. Rassias [loc. cit.]. Cited in 1 ReviewCited in 8 Documents MSC: 46G05 Derivatives of functions in infinite-dimensional spaces Keywords:Hyers-Ulam stability Citations:Zbl 0818.46043; Zbl 0746.46038 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML References: [1] Găvruţa, P., A generalization of the HYERS-ULAM-RASSIAS stability of approximately additive mappings ,Journal of Math. Analysis and Appl.184 (1994), 431-436. · Zbl 0818.46043 [2] Hyers, D.H.AND Rassias, Th.M., Approximate homomorphisms , Aequationes Math.44 (1992), 125-153. · Zbl 0806.47056 [3] Rassias, Th.M., On a modified HYERS-ULAM sequence , Journal of Math. Analysis and Appl.158 (1991), 106-113. · Zbl 0746.46038 [4] Ulam, S.M., Problems in modern mathematics, chap. VI, Science eds. ,Wiley, New York, 1960. · Zbl 0137.24201 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.