A £-fuzzy Fixed Point Theorem in Partially Ordered Sets and Applications

Volume 1, Issue 1, pp 40--45 http://dx.doi.org/10.22436/jmcs.001.01.06

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Authors

H. Eshaghi-Kenari - Faculty of Sciences, Islamic Azad University-Ayatollah Amoli branch, Amol, P.O. Box 678, Iran

Abstract

An analogue of £-fuzzy Banach's fixed point theorem in partially ordered sets is proved in this paper, and several applications to linear and nonlinear matrix equations are discussed.

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ISRP Style

H. Eshaghi-Kenari, A £-fuzzy Fixed Point Theorem in Partially Ordered Sets and Applications, Journal of Mathematics and Computer Science, 1 (2010), no. 1, 40--45

AMA Style

Eshaghi-Kenari H., A £-fuzzy Fixed Point Theorem in Partially Ordered Sets and Applications. J Math Comput SCI-JM. (2010); 1(1):40--45

Chicago/Turabian Style

Eshaghi-Kenari, H.. "A £-fuzzy Fixed Point Theorem in Partially Ordered Sets and Applications." Journal of Mathematics and Computer Science, 1, no. 1 (2010): 40--45

Keywords

£-Fuzzy contractive mapping
Complete £-fuzzy metric space
Fixed point theorem

MSC

54A40
55M20
03E72
54F05
47H09

References

[1] A. Bjorner, Order-reversing maps and unique fixed points in complete lattices, Algebra Universalis, 12 (1981), 402--403

[2] G. Deschrijver, C. Cornelis, E. E. Kerre, On the representation of intuitionistic fuzzy t-norms and t-conorms, IEEE Trans. Fuzzy Syst., 12 (2004), 45--61
- View Article
- Google Scholar

[3] G. Deschrijver, E. E. Kerre, On the relationship between some extensions of fuzzy Set theory, Fuzzy Sets and Systems, 133 (2003), 227--235

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

[5] J. Goguen, L-fuzzy sets, J. Math. Anal. Appl., 18 (1967), 145--174

[6] O. Hadžić, E. Pap, Fixed Point Theory in Probabilistic Metric Spaces, Kluwer Academic Publishers, Dordrecht (2001)

[7] J. H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals, 22 (2004), 1039--1046

[8] A. C. M. Ran, M. C. B. Reurings, A fixed point theorem in partially ordered sets and some applications to matrix equations, Proc. Amer. Math. Soc., 132 (2004), 1435--1443

[9] R. Saadati, A. Razani, H. Adibi, A Common fixed point theorem in L-fuzzy metric spaces, Chaos Solitons Fractals, 33 (2007), 358--363

[10] R. Saadati, J. H. Park, On the Intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 (2006), 331--344

[11] R. Saadati, J. H. Park, Intuitionistic fuzzy Euclidean normed spaces, Commun. Math. Anal., 1 (2006), 85--90