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
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by Valeriĭ A. Faĭziev, Themistocles M. Rassias and Prasanna K. Sahoo PDF

Trans. Amer. Math. Soc. 354 (2002), 4455-4472 Request permission

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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