The space of -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
Full-text PDF
Abstract | References | Similar Articles | Additional Information
Abstract: In this paper, we introduce the concept of -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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Additional Information
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:
https://doi.org/10.1090/S0002-9947-02-03036-2
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
Published electronically:
July 2, 2002
Dedicated:
Dedicated to the memory of Maria
Article copyright:
© Copyright 2002
American Mathematical Society