On \(\alpha\)-\(\psi\)-Meir-Keeler contractive mappings. (English) Zbl 1423.54083
Summary: In this paper, we introduce the notion of \(\alpha\)-\(\psi\)-Meir-Keeler contractive mappings via a triangular \(\alpha\)-admissible mapping. We discuss the existence and uniqueness of a fixed point of such a mapping in the setting of complete metric spaces. We state a number of examples to illustrate our results.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 54E50 | Complete metric spaces |
References:
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