Transactions of the American Mathematical Society

Author(s): Valerii A. Faiziev; Themistocles M. Rassias; Prasanna K. Sahoo
Journal: Trans. Amer. Math. Soc. 354 (2002), 4455-4472.
MSC (2000): Primary 20M15, 20M30, 39B82.
Posted: July 2, 2002
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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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Retrieve articles in Transactions of the American Mathematical Society with MSC (2000): 20M15, 20M30, 39B82.

Valerii A. Faiziev
Affiliation: Tver State Agricultural Academy, Tver Sakharovo, Russia
Address at time of publication: Tereshkova Sq. 47/27--43, Tver 170037, Russia
Email: valeriy.fayziev@tversu.ru

Themistocles M. Rassias
Affiliation: Department of Mathematics, National Technical University of Athens, Zografou Campus, 15780 Athens, Greece
Email: trassias@math.ntua.gr

Prasanna K. Sahoo
Affiliation: Department of Mathematics, University of Louisville, Louisville, Kentucky 40292
Email: sahoo@louisville.edu

DOI: 10.1090/S0002-9947-02-03036-2
PII: S 0002-9947(02)03036-2
Keywords: Banach spaces, free group, metabelian group, metric group, semigroup, semidirect product of semigroups, stability, wreath product, $(\psi, \gamma)$--quasiadditive mapping, $(\psi, \gamma)$--pseudoadditive mapping.
Received by editor(s): November 20, 2000
Received by editor(s) in revised form: November 5, 2001.
Posted: July 2, 2002
Dedicated: Dedicated to the memory of Maria
Copyright of article: Copyright 2002, American Mathematical Society

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