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Notes to the paper “Fixed points in intuitionistic fuzzy metric spaces” and its generalization to -fuzzy metric spaces
- Source :
-
Chaos, Solitons & Fractals . Jan2008, Vol. 35 Issue 1, p176-180. 5p. - Publication Year :
- 2008
-
Abstract
- Abstract: Recently, Alaca et al. [Alaca et al., Chaos, Solitons & Fractals 2006;29:1073–9] proved some fixed point theorems in intuitionistic fuzzy metric spaces by a strong definition of Cauchy sequence (see [George and Veeramani, Fuzzy Sets Syst 1994;64:395–9] and [Veeramani and Vasuki, Fuzzy Sets Syst 2003;135:409–13]), also the intuitionistic fuzzy metric space has extra conditions (see [Gregori et al., Chaos, Solitons & Fractals, 2006;28:902–5]). In this paper, we consider generalized intuitionistic fuzzy metric spaces i.e., -fuzzy metric spaces and prove the fuzzy version of Banach and Edelstein contraction theorems in these spaces for modified definition of Cauchy sequence. [Copyright &y& Elsevier]
- Subjects :
- *TOPOLOGY
*SET theory
*NONLINEAR theories
*SOLITONS
Subjects
Details
- Language :
- English
- ISSN :
- 09600779
- Volume :
- 35
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Chaos, Solitons & Fractals
- Publication Type :
- Periodical
- Accession number :
- 26584134
- Full Text :
- https://doi.org/10.1016/j.chaos.2006.05.005