Orthogonal Constant Mappings in Isosceles Orthogonal Spaces

Details Orthogonal Constant Mappings in Isosceles Orthogonal Spaces Orthogonal Constant Mappings in Isosceles Orthogonal Spaces

2006-04-21

arxiv.org/abs/math/0604463v1

Kragujevac J. Math. 29 (2006) 133-140.

Mathematics

Classical Analysis and ODEs

7 pages, to appear in Kragujevac Math. J

Scientific paper

In this paper we introduce the notion of orthogonally constant mapping in an
isosceles orthogonal space and establish stability of orthogonally constant
mappings. As an application, we discuss the orthogonal stability of the
Pexiderized quadratic equation $f(x+y)+g(x+y)=h(x)+k(y)$.

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