L-Fuzzy Invariant Metric Space
Abstract
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.
Keywords
L-fuzzy invariant metric space,Completeness,Equicontinuity,Compactness
References
- [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.
