Approximate Best Proximity Pairs in Fuzzy Normed Spaces for Contraction Maps
S. A. M. Mohsenailhosseini *
Faculty of Mathematics, Vali-e-Asr University, Rafsanjan, Iran and Faculty of Mathematics, Yazd University, Yazd, Iran.
*Author to whom correspondence should be addressed.
Abstract
We define approximate best proximity pair and diameter approximate best proximity pair in fuzzy normed spaces. Two general lemmas are given regarding approximate best proximity pair of operators on fuzzy normed spaces. Using these results we prove theorems for various types of well known generalized contractionson on fuzzy normed spaces.
Keywords: Fuzzy normed spasc, fuzzy approximate best proximity pair, diameter fuzzy approximate best proximity pair