×

Fixed point theorems for generalized rational \(\alpha\)-\(\psi\)-Geraghty contraction type mappings in metric space. (English) Zbl 1463.54139

Summary: In this paper, we introduce the notion of generalized rational \(\alpha\)-\(\psi\)-Geraghty contraction type mappings in the context of metric space and establish some fixed point theorems for such mappings. An example is also given to illustrate our result.

MSC:

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