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.References
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Additional Information
- Valeriĭ A. Faĭziev
- 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
- Received by editor(s): November 20, 2000
- Received by editor(s) in revised form: November 5, 2001
- Published electronically: July 2, 2002
- © Copyright 2002 American Mathematical Society
- 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
- MathSciNet review: 1926883
Dedicated: Dedicated to the memory of Maria