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An extension of generalized \((\psi, \varphi)\)-weak contractions. (English) Zbl 1511.54055

Summary: We prove a fixed-point theorem for a class of maps that satisfy generalized \((\psi, \varphi)\)-weak contractions depending on a given function. An example is given to illustrate our extensions.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
54E40 Special maps on metric spaces
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