The space of (ψ,γ) additive mappings on semigroups

被引：42

作者：

Faiziev, VA

Rassias, TM

Sahoo, PK

机构：

[1] Tver State Agr Acad, Tver Sakharovo, Russia

[2] Natl Tech Univ Athens, Dept Math, Athens 15780, Greece

[3] Univ Louisville, Dept Math, Louisville, KY 40292 USA

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2002年 / 354卷 / 11期

关键词：

Banach spaces; free group; metabelian group; metric group; semigroup; semidirect product of semigroups; stability; wreath product; (psi; gamma) quasiadditive mapping; gamma) pseudoadditive mapping;

D O I：

10.1090/S0002-9947-02-03036-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页码：4455 / 4472

页数：18

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