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Zbl 0592.46004
Rassias, John Michael
On a new approximation of approximately linear mappings by linear mappings.
(English)
[J] Discuss. Math. 7, 193-196 (1985). ISSN 0137-9747

Assume A is a normed linear space, B is a Banach space, and $f: A\to B$ is a mapping "approximately linear". In this paper we solve the following Ulam Problem: "Give conditions in order for a linear mapping near an approximately linear mapping to exist".
MSC 2000:
*46A32 Topological linear spaces of linear operators, etc.
46B20 Geometry and structure of normed spaces
41A30 Approximation by other special function classes

Keywords: approximately linear; Ulam Problem; conditions in order for a linear mapping near an approximately; linear mapping to exist; conditions in order for a linear mapping near an approximately linear mapping to exist

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