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On fuzzy \(\varepsilon \)-contractive mappings in fuzzy metric spaces. (English) Zbl 1152.54008
In this paper, the author answers affirmatively the open question raised by 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.

MSC:
54A40 Fuzzy topology
54H25 Fixed-point and coincidence theorems (topological aspects)
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References:
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