Title : ( Recent developments of the conditional stability of the homomorphism equation )
Authors: J. Brzdek , W. Fechner , Mohammad Sal Moslehian , J. Sikorska ,
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Abstract
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.
Keywords
, Hyers--Ulam--Rassias stability, (orthogonal) Cauchy equation, orthogonality, restricted domain, sandwich technique, fixed point method, Hyers' sequence, invariant mean method
@article{paperid:1050157,
author = {J. Brzdek and W. Fechner and Sal Moslehian, Mohammad and J. Sikorska},
title = {Recent developments of the conditional stability of the homomorphism equation},
journal = {Banach Journal of Mathematical Analysis},
year = {2015},
volume = {9},
number = {3},
month = {September},
issn = {1735-8787},
pages = {278--326},
numpages = {48},
keywords = {Hyers--Ulam--Rassias stability; (orthogonal) Cauchy equation; orthogonality; restricted domain; sandwich technique; fixed point method; Hyers' sequence; invariant mean method},
}
%0 Journal Article
%T Recent developments of the conditional stability of the homomorphism equation
%A J. Brzdek
%A W. Fechner
%A Sal Moslehian, Mohammad
%A J. Sikorska
%J Banach Journal of Mathematical Analysis
%@ 1735-8787
%D 2015
