On common fixed points in the context of Brianciari metric spaces. (English) Zbl 1453.54011
Summary: In this paper, we introduce the concept of generalized \((\alpha,\psi)\)-contractions and generalized \((\alpha,\psi)\)-Meir-Keeler-contractions in the setting of Brianciari metric spaces. We prove some common fixed point results for such contractions. An example is presented making effective the new concepts and results.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
References:
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