In this paper, we introduce the notions of fuzzy $(\alpha,\beta,\varphi)$-contractive mapping, fuzzy $\alpha$-$\phi$-$\psi$-contractive mapping and fuzzy $\alpha$-$\beta$-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.

Salimi, P., Vetro, C., Vetro, P. (2013). Some New Fixed Point Results in non-Archimedean Fuzzy Metric Spaces. NONLINEAR ANALYSIS, 18(3), 344-358.

Some New Fixed Point Results in non-Archimedean Fuzzy Metric Spaces

VETRO, Calogero;VETRO, Pasquale
2013-01-01

Abstract

In this paper, we introduce the notions of fuzzy $(\alpha,\beta,\varphi)$-contractive mapping, fuzzy $\alpha$-$\phi$-$\psi$-contractive mapping and fuzzy $\alpha$-$\beta$-contractive mapping and establish some results of fixed point for this class of mappings in the setting of non-Archimedean fuzzy metric spaces. The results presented in this paper generalize and extend some recent results in fuzzy metric spaces. Also, some examples are given to support the usability of our results.
Settore MAT/05 - Analisi Matematica
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Salimi, P., Vetro, C., Vetro, P. (2013). Some New Fixed Point Results in non-Archimedean Fuzzy Metric Spaces. NONLINEAR ANALYSIS, 18(3), 344-358.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10447/84793
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