t- Best approximation results in fuzzy normed spaces

In this paper, first we see the definition of t-best approximation in fuzzy normed spaces from another point of view, and we prove some basic new results. The concept of t-orthogonality in a fuzzy normed space has been given with some properties. At last, we have an important decomposition of a fuzzy normed space, provided that one of the summands be a proximinal set.

Keywords:

t-best approximation , t-orthogonality , t-proximity mapping , fuzzy normed spaces , proximinal sets