ON THE HYERS-ULAM STABILITY OF PSI-ADDITIVE MAPPINGS

被引：143

作者：

ISAC, G ^{[1
]}

RASSIAS, TM ^{[1
]}

机构：

[1] UNIV LA VERNE,DEPT MATH,GR-14510 ATHENS,GREECE

来源：

JOURNAL OF APPROXIMATION THEORY | 1993年 / 72卷 / 02期

关键词：

D O I：

10.1006/jath.1993.1010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E1 be a real normed vector space and E2 a real Banach space. S. M. Ulam posed the problem: When does a linear mapping near an approximately additive mapping ƒ: E1 → E2 exist? We give a new generalized solution to Ulam’s problem for Ψ-additive mappings. Some relations with the asymptotic differentiability are also indicated. © 1993 Academic Press, Inc.

引用

页码：131 / 137

页数：7

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