Common fixed point for generalized \((\psi ,\varphi )\)-weak contractions. (English) Zbl 1203.54040

Summary: We introduce the class of generalized \((\psi ,\varphi )\)-weak contractive mappings. We establish that these mappings necessarily have a unique common fixed point in complete metric spaces. This result generalizes an existing result in metric spaces.


54H25 Fixed-point and coincidence theorems (topological aspects)
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