Journal of Applied Sciences1812-56541812-5662Asian Network for Scientific Information10.3923/jas.2012.893.896MoghaddamMajid Abrishami92012129This study has considered the problem of finding a best approximation pair, i.e., two points which achieve the minimum distance between two nonempty sets in fuzzy normed spaces. we defined F-proximinal set and F-approximately compact relative to any set and study the existence and uniqueness of best proximity points.]]>Bauschke, H.H., P.L. Combettes and D.R. Luke,2004Cuenya, H.H. and A.G. Bonifacio,2008Kim, W.K.,2006Mohsenalhosseini, S.A.M., H. Mazaheri and M.A. Dehghan,2011Shams, M., S.M. Vaezpour and R. Saadati,2009