Article ID Journal Published Year Pages File Type
1893987 Chaos, Solitons & Fractals 2008 5 Pages PDF
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., L-fuzzy metric spaces and prove the fuzzy version of Banach and Edelstein contraction theorems in these spaces for modified definition of Cauchy sequence.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Authors
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