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 |