Some results of best simultaneous approximation in normed spaces

Abstract

In this paper we prove some results of best simultaneous approiximation on normed spaces and then we see some applications.

t-proximinal sets in fuzzy normed spaces

“…Definition 2.1. [6] A triangular norm(t-norm) T (or * ) on [0,1] is defined as an increasing, commutative and associative mapping T :…”

“…S. M. Vaezpour and F. Karimi have introduced the concept of t-best approximation in fuzzy normed spaces in [14]. Also to see the more rresults of best simultaneouse approximation in fuzzy normed spaces, we refer the readers to [6]. In this paper, first we consider the definition of t-best approximation in fuzzy normed spaces, from another point of view, and we prove some basic results.…”