Arzela-ascoli Theorem for Felbins Type Fuzzy Normed Linear Spaces
-
3242
Downloads
-
3937
Views
Authors
A. Zohourmeskar
- Department of basic science, Jundi-shapur university of Technology, Dezful, Iran, First University.
A. Mozaffarikhan
- Department of Mathematics, Mahshahr Branch, Islamic Azad University, Mahshahr,Iran.
Abstract
In this note, we define the strongly fuzzy bounded linear operators on Felbin’s fuzzy normed linear space. In particular, a Arzela-Ascoli theorem for strongly fuzzy bounded linear operators are established.
Share and Cite
ISRP Style
A. Zohourmeskar, A. Mozaffarikhan, Arzela-ascoli Theorem for Felbins Type Fuzzy Normed Linear Spaces, Journal of Mathematics and Computer Science, 13 (2014), no. 1, 90-93
AMA Style
Zohourmeskar A., Mozaffarikhan A., Arzela-ascoli Theorem for Felbins Type Fuzzy Normed Linear Spaces. J Math Comput SCI-JM. (2014); 13(1):90-93
Chicago/Turabian Style
Zohourmeskar, A., Mozaffarikhan, A.. "Arzela-ascoli Theorem for Felbins Type Fuzzy Normed Linear Spaces." Journal of Mathematics and Computer Science, 13, no. 1 (2014): 90-93
Keywords
- Fuzzy real number
- Fuzzy norm linear space
- Strongly fuzzy continuous
- Strongly fuzzy bounded.
MSC
References
-
[1]
T. Bag, S. K. Samanta, Fuzzy bounded linear operators in Felbin’s type fuzzy normed linear spaces, Fuzzy Sets and Systems , 159 (2008), 685-707.
-
[2]
D. Dobois, H. Prade, Operations on fuzzy numbers, International Journal of System , 9 (1978), 613-626.
-
[3]
C. Felbin, Finite dimensional fuzzy normed linear spaces, fuzzy Set and System, 48 (1992), 239-248.
-
[4]
A. Taghavi, M. Mehdizadeh, Adjoint operator in fuzzy normed linear spaces, The Journal of Mathematics and Computer Science, 3 (2011), 453-458.
-
[5]
J. Xiao, X. Zhu , On linearly topological structure and property of fuzzy normed linear space, Fuzzy Sets and Systems , 125 (2002), 153-161.
-
[6]
J. Z. Xiao, Y. Lu, Condensing operators and topological degree theory in standard fuzzy normed space, fuzzy Set and Systems , 161 (2010), 1047-1063
