4.4 Article

RECENT DEVELOPMENTS OF THE CONDITIONAL STABILITY OF THE HOMOMORPHISM EQUATION

期刊

BANACH JOURNAL OF MATHEMATICAL ANALYSIS
卷 9, 期 3, 页码 278-326

出版社

DUKE UNIV PRESS
DOI: 10.15352/bjma/09-3-20

关键词

Hyers-Ulam-Rassias stability (orthogonal) Cauchy equation; orthogonality; restricted domain; sandwich technique; fixed point method; Hyers' sequence; invariant mean method

资金

  1. Tusi Mathematical Research Group (TMRG), Mashhad, Iran

向作者/读者索取更多资源

The issue of Ulam's type stability of an equation is understood in the following way: when a mapping which satisfies the equation approximately (in some sense), it is close to a solution of it. In this expository paper, we present a survey and a discussion of selected recent results concerning such stability of the equations of homomorphisms, focussing especially on some conditional versions of them.

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