Fixed point theorems for contractive mappings in fuzzy metric space
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In this paper, we prove common fixed point theorems for continuous maps in partially ordered fuzzy metric spaces under $(\psi,\alpha,\beta)$-weak contraction. In light of the $(\psi,\alpha,\beta)$-weak contraction, we first establish the coincident point theorem and then show that if the maps are weakly compatible, this coincident point becomes a fixed point. Our result generalizes the result of Vetro et al. \cite{Chartrand17}. Examples are provided to demonstrate the results.
Abstract
In this paper, we prove common fixed point theorems for continuous maps in partially ordered fuzzy metric spaces under $(\psi,\alpha,\beta)$-weak contraction. In light of the $(\psi,\alpha,\beta)$-weak contraction, we first establish the coincident point theorem and then show that if the maps are weakly compatible, this coincident point becomes a fixed point. Our result generalizes the result of Vetro et al. \cite{Chartrand17}. Examples are provided to demonstrate the results.
참고문헌 (14)
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