Missouri Journal of Mathematical Sciences

On Some Theorems in Intuitionistic Fuzzy Metric Spaces

Cemil Yildiz, Sushil Sharma, and Servet Kutukcu
Source: Missouri J. Math. Sci. Volume 22, Issue 1 (2010), 44-49.

Abstract

In this note, we define adherent and accumulation points of a set in an intuitionistic fuzzy metric space, and prove the Sierpinski and Hine Theorem for intuitionistic fuzzy metric spaces.

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Primary Subjects: 54A40
Secondary Subjects: 54E35
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.mjms/1312232720
Mathematical Reviews number (MathSciNet): MR2650061
Zentralblatt MATH identifier: 1213.54017

References

K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87–96.
Mathematical Reviews (MathSciNet): MR852871
Digital Object Identifier: doi:10.1016/S0165-0114(86)80034-3
M. Amini and R. Saadati, Topics in fuzzy metric spaces, J. Fuzzy Math., 11 (2003), 765–768.
Mathematical Reviews (MathSciNet): MR2021455
Zentralblatt MATH: 1053.54005
A. George and P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64 (1994), 395–399.
Mathematical Reviews (MathSciNet): MR1289545
Digital Object Identifier: doi:10.1016/0165-0114(94)90162-7
S. Kutukcu, D. Turkoglu, and C. Yildiz, Common fixed points of compatible maps of type $(\beta )$ on fuzzy metric spaces, Commun. Korean Math. Soc., 21 (2006), 89–100.
Mathematical Reviews (MathSciNet): MR2199304
Digital Object Identifier: doi:10.4134/CKMS.2006.21.1.089
S. Kutukcu, A common fixed point theorem for a sequence of self maps in intuitionistic fuzzy metric spaces, Commun. Korean Math. Soc., 21 (2006), 679–687.
Mathematical Reviews (MathSciNet): MR2267361
Digital Object Identifier: doi:10.4134/CKMS.2006.21.4.679
S. Kutukcu, A fixed point theorem for contraction type mappings in Menger spaces, American J. Appl. Sci., 4 (2007), 371–373.
S. Kutukcu, D. Turkoglu, and C. Yildiz, Some fixed point theorems for multivalued mappings in fuzzy Menger spaces, J. Fuzzy Math., (to appear).
Mathematical Reviews (MathSciNet): MR2328103
Zentralblatt MATH: 1136.54306
R. E. Megginsion, An Introduction on Banach Space Theory, Springer-Verlag, New York, 1998.
Mathematical Reviews (MathSciNet): MR1650235
Zentralblatt MATH: 0910.46008
K. Menger, Statistical metrics, Proc. Nat. Acad. Sci., 28 (1942), 535–537.
Mathematical Reviews (MathSciNet): MR7576
Zentralblatt MATH: 0063.03886
Digital Object Identifier: doi:10.1073/pnas.28.12.535
J. H. Park, Intuitionistic fuzzy metric spaces, Chaos, Solitons & Fractals, 22 (2004), 1039–1046.
Mathematical Reviews (MathSciNet): MR2078831
Zentralblatt MATH: 1060.54010
Digital Object Identifier: doi:10.1016/j.chaos.2004.02.051
L. A. Zadeh, Fuzzy sets, Inform. and Control, 8 (1965), 338–353.
Mathematical Reviews (MathSciNet): MR219427

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Missouri Journal of Mathematical Sciences

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