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
收藏
页码：4455 / 4472
页数：18
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