Stability of Jensen functional equation on semigroups |
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Authors: | Valeri? A. Fa?ziev Thomas Riedel |
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Affiliation: | a Tver State Agricultural Academy, Tver Sakharovo, Russia b Department of Mathematics, University of Louisville, Louisville, KY 40292, USA |
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Abstract: | In this paper we introduce a Jensen type functional equation on semigroups and study the Hyers-Ulam stability of this equation. It is proved that every semigroup can be embedded into a semigroup in which the Jensen equation is stable. |
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Keywords: | Banach spaces Semidirect product of semigroups Stability Wreath product |
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