Document Type: Research Paper


Department of Mathematics and Computer Sciences, Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran


The main purpose of this paper is to consider the t-best simultaneous
approximation in fuzzy normed spaces. We develop the theory of t-best
simultaneous approximation in quotient spaces. Then, we discuss the relationship
in t-proximinality and t-Chebyshevity of a given space and its quotient


[1] T. Bag and S. K. Samanta, Finite dimensional fuzzy normed linear spaces, J. Fuzzy Math.,
11(3) (2003), 678-705.
[2] S. C. Cheng and J. N. Morsden, Fuzzy linear operator and fuzzy normed linear spaces, Bull.
Calculatta Math. Soc., 86 (1994), 429-436.

[3] M. S. El Naschie, On the uncertainty of cantorian geometry and two-slit experiment, Chaos,
Solitons and Fractals, 9 (1998), 517-529.
[4] M. S. El Naschie, On a fuzzy Kahler-like manifold which is consistent with two-slit experiment,
Int. Journal of Nonlinear Science and Numerical Simulation, 6 (2005), 95-98.
[5] M. S. El Naschie, A review of E-infinity theory and the mass spectrum of high energy particle
physics, Chaos, Solitons and Fractals, 19 (2004), 209-236.
[6] A. George and P. V. Veermani, On some results in fuzzy metric spaces, Fuzzy Sets and
Systems, 64 (1994), 395-399.
[7] S. B. Hosseini, D. O,regan and R. Saadati, Some results on intuitionistic fuzzy spaces, Iranian
Journal of Fuzzy Systems, 1 (2007), 53-64.
[8] I. Kramosil and J. Mischalek, Fuzzy metric and statistical metric spaces, Kybernetika, 11
(1975), 326-334.
[9] J. Rodriguez-Lopez and S. Romaguera, The Hausdorff fuzzy metric on compact sets, Fuzzy
Sets and Systems, 147 (2004), 273-283.
[10] M. Rafi, M. Salmi and M. Noorani, Fixed point theorem on intuitionistic fuzzy metric spaces,
Iranian Journal of Fuzzy Systems, 3 (2008), 23-30.
[11] R. Saadati, S. Sedghi and H. Zhou, A common fixed point theorem for -weakly commuting
maps in L-fuzzy metric spaces, Iranian Journal of Fuzzy Systems, 5 (2008), 47-54.
[12] R. Saadati and S. M. Vaezpour, Some results on fuzzy Banach spaces, J. Appl. Math and
Computing., 17(1-2) (2005), 475-484.
[13] Y. Tanaka, Y. Minzno and T. Kado, Chaotic dynamics in friedman equation, Chaos, Solitons
and Fractals, 24 (2005), 407-422.
[14] S. M. Vaezpour and F. Karimi, T-best approximation in fuzzy normed spaces, Iranian Journal
of Fuzzy Systems, 2 (2008), 93-99.
[15] L. A. Zadeh, Fuzzy sets, Information and Control, 8 (1965), 338-353.