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Article
Open AccessOn some new fixed point results in fuzzy b-metric spaces
This paper consists of several fixed point theorems in the fuzzy b-metric spaces. As an important result, we give a sufficient condition for a sequence to be Cauchy in the fuzzy b-metric space. Thus we simplify t...
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Article
Open AccessAn altering distance function in fuzzy metric fixed point theorems
The aim of this paper is to improve conditions proposed in recently published fixed point results for complete and compact fuzzy metric spaces (Ćirić in Chaos Solitons Fractals 42:146-154, 2009; Shen et al. in Ap...
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Article
Open AccessA fixed point theorem for a special class of probabilistic contraction
In this paper, a special class of probabilistic contraction will be considered. Using the theory of countable extension of t-norms, we proved a fixed point theorem for such a class of map**s f : S → S, where ...