Diameter Approximate Best Proximity Pair in Fuzzy Normed Spaces

The main purpose of this paper is to study the ap- proximate best proximity pair of cyclic maps and their diameter in fuzzy normed spaces defined by Bag and Samanta. First, approx- imate best point proximity points on fuzzy normed linear spaces are de ned and four general lemmas are given regarding approx- imate xed point and approximate best proximity pair of cyclic maps on fuzzy normed spaces. Using these results, we prove the- orems for various types of well-known generalized contractions in fuzzy normed spaces. Also, we apply our results to get an appli- cation of approximate fixed point and approximate best proximity pair theorem of their diameter.