Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9502676 | Journal of Mathematical Analysis and Applications | 2005 | 9 Pages |
Abstract
We study the stability problem for mappings satisfying the equation âf(xây)â=âf(x)âf(y)â. As a result we obtain the stability of functions preserving the equality of distance, that is, satisfying for all x,y,u,v the condition âxâyâ=âuâvââ¹âf(x)âf(y)â=âf(u)âf(v)â.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Justyna Sikorska,