L-Fuzzy Invariant Metric Space

Yıl 2018, Cilt: 1 Sayı: 2, 137 - 141, 24.12.2018

Servet Kütükçü

https://doi.org/10.33434/cams.444659

Öz

In this paper, we define L-fuzzy invariant metric space, and generalize some well known results in metric and fuzzy metric space including Uniform continuity theorem and Ascoli-Arzela theorem.

Anahtar Kelimeler

L-fuzzy invariant metric space, Completeness, Equicontinuity, Compactness

Kaynakça

• [1] Z. Deng, Fuzzy pseudo-metric spaces, J. Math. Anal. Appl., 86 (1982), 74-95.
• [2] A. George, P. Veeramani, On some results in fuzzy metric spaces, Fuzzy Sets and Systems, 64 (1994), 395-399.
• [3] A. George, P. Veeramani, Some theorems in fuzzy metric spaces, J. Fuzzy. Math., 3 (1995), 933-940.
• [4] J. Goguen, d-fuzzy sets, J. Math. Anal. Appl., 18 (1967), 145-174.
• [5] S. B. Hosseini, J. H. Park, R. Saadati, Intuitionistic fuzzy invariant metric spaces, Int. J. Pure Appl. Math. Sci., 2 (2005), 139-149.
• [6] 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.
• [7] S. Kutukcu, A. Tuna, A. T. Yakut, Generalized contraction mapping principle in intuitionistic Menger spaces and application to differential equations, Appl. Math. Mech., 28 (2007), 799-809.
• [8] R. Saadati, J. H. Park, On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 (2006), 331-344.
• [9] J. H. Park, Intuitionistic fuzzy metric spaces, Chaos Solitons Fractals, 22 (2004), 1039-1046.
• [10] S. Sharma, Common fixed point theorems in fuzzy metric spaces, Fuzzy Sets and Systems, 127 (2002), 345–352.
• [11] 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.
• [12] G. Deschrijver, E. E. Kerre, On the relationship between some extensions of fuzzy set theory, Fuzzy Sets and Systems, 133 (2003), 227-235.