Title of article :
Fuzzy Farthest Points and Fuzzy Best Approximation Points in Fuzzy Normed Spaces
Author/Authors :
Mazaheri, H. Faculty of Mathematics - Yazd University , Bizhanzadeh, Z. Faculty of Mathematics - Yazd University , Moosavi, S. M. Faculty of Mathematics - Vali-e-asr University of Rafsenjan , Dehghan, M. A. Faculty of Mathematics - Vali-e-asr University of Rafsenjan
Abstract :
In this paper we define fuzzy farthest points, fuzzy best approximation points and farthest orthogonality in fuzzy normed spaces and we will find some results. We prove some existence theorems, also we consider fuzzy Hilbert and show every nonempty closed and convex subset of a fuzzy Hilbert space has an unique fuzzy best approximation.
Keywords :
Normed fuzzy space , Fuzzy farthest orthogonality , Fuzzy best approximation points , Fuzzy farthest points
Journal title :
نظريه تقريب و كاربردهاي آن
