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On fuzzy \(\varepsilon \)-contractive mappings in fuzzy metric spaces - MaRDI portal

On fuzzy \(\varepsilon \)-contractive mappings in fuzzy metric spaces (Q2472280)

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On fuzzy \(\varepsilon \)-contractive mappings in fuzzy metric spaces
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    On fuzzy \(\varepsilon \)-contractive mappings in fuzzy metric spaces (English)
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    21 February 2008
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    In this paper, the author answers affirmatively the open question raised by \textit{A. Razani} [Fixed Point Theory Appl. 2005, No. 3, 257--265 (2005; Zbl 1102.54005)]. The author replaces the continuous t-norm \(*\) defined as \(a * b = \min \{a, b\}\) by an arbitrary t-norm. Separation axioms for a fuzzy metric space in the sense of George and Veeramani are used to prove the main results.
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    fuzzy metric space
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    separation axiom
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