The space of (𝜓,𝛾)–additive mappings on semigroups

Faĭziev, Valeriĭ; Rassias, Themistocles; Sahoo, Prasanna

doi:10.1090/S0002-9947-02-03036-2

The space of $(\psi,\gamma)$ -additive mappings on semigroups

Authors: Valerii A. Faiziev, Themistocles M. Rassias and Prasanna K. Sahoo
Journal: Trans. Amer. Math. Soc. 354 (2002), 4455-4472
MSC (2000): Primary 20M15, 20M30, 39B82.
DOI: https://doi.org/10.1090/S0002-9947-02-03036-2
Published electronically: July 2, 2002
MathSciNet review: 1926883
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Abstract: In this paper, we introduce the concept of $(\psi,\gamma)$ -pseudoadditive mappings from a semigroup into a Banach space, and we provide a generalized solution of Ulam's problem for approximately additive mappings.

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