Fuzzy Farthest Points and Fuzzy Best Approximation Points in Fuzzy Normed Spaces

Subject Areas : Applied Mathematics

Hamid Mazaheri Tehrani ¹ , S. M Mouavi Shams Abad ² , M. A Dehghan ³ , Z. Bizhanzadeh ⁴

1 - Faculty of Mathematics, Yazd University, Yazd, Iran
2 - Faculty of Mathematics, Vali-e-asr University of Rafsenjan, Rafsenjan, Iran
3 - Faculty of Mathematics, Vali-e-asr University of Rafsenjan, Rafsenjan, Iran
4 - Faculty of Mathematics, Yazd University, Yazd, Iran

Received: 2018-06-14 Accepted : 2019-02-23 Published : 2019-05-01

Keywords:

References:

[1]T. Bag and S.K. Samanta. Finite dimensional fuzzy normed linear spaces.
J. Fuzzy Math., 2003, 11(3), 687-705.

[2]T. Bag and S.K. Samanta. xed point theorems on fuzzy normed linear
spaces. Inform. Sci., 2003, 176, 2910-2931.

[3]T. Bag and S.K. Samanta. Some xed point theorems in fuzzy normed
linear spaces. Inform. Sci., 2007, 177, 3271-3289.

[4]A. George and P. Veeramani. On some results in fuzzy metric spaces.
Fuzzy Sets and Systems, 1994, 64(3), 395-399.
30

[5]M. Goudarzi and S. M. Vaezpour. On the denition of fuzzy Hilbert
spaces and its application The Journal of Nonlinear Science and
Applications, J. Nonlinear Sci. Appl., 2009, 2, 46-59.

[6]M. A. Moghadam. Best proximity pairs in fuzzy metric spaces. Journal
of Applied Sciences, 2012, 3, 1-4.

[7]S. A. M. Mohsen Hosseini, H. Mazaheri, and M. A. Dehghan.
Approximate xed point in fuzzy normed spaces for nonlinear maps.
Iranian Journal of Fuzzy System, 2013, 10(1), 135-142.

[8]R. Vasuki and P. Veeramani. Fixed point theorems and Cauchy sequences
in fuzzy metric spaces. Fuzzy Sets and Systems, 2003, 135(3), 415-417.

[9]S. M. Vaezpour and F. Karimi. t-best approximation in fuzzy normed
spaces. Iran. J. Fuzzy Syst., 2008, 5(2), 93-99.