ISSN : 1226-0657
Let R<TEX>$^n$</TEX>be n-th Euclidean space. Let be the n-th spere embeded as a subspace in R<TEX>$\^$</TEX>n+1/ centered at the origin. In this paper, we are going to consider the function space F = {f│f : S<TEX>$^n$</TEX>\longrightarrow S<TEX>$^n$</TEX>} metrized by as follow D(f,g)=d(f(<TEX>$\chi$</TEX>), g(<TEX>$\chi$</TEX>)) where f, g <TEX>$\in$</TEX> F and d is the metric in S<TEX>$^n$</TEX>. Finally we want to find certain relation these spaces.(omitted)