Common fixed point theorems for four maps. (English) Zbl 1469.54167
Cho, Yeol Je (ed.) et al., Advances in metric fixed point theory and applications. Singapore: Springer. 283-309 (2021).
Summary: In this chapter, we manifest some coincidence and common fixed point theorems for four maps satisfying Círíc type and Hardy-Rogers type \((\alpha,F)\)-contractions on \(\alpha\)-complete metric spaces. We apply these results to infer several new and old corresponding results in ordered metric spaces and graphic metric spaces. These results also generalize some results obtained previously. We present an example and an application to support our results.
For the entire collection see [Zbl 1470.47001].
For the entire collection see [Zbl 1470.47001].
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
| 54E50 | Complete metric spaces |
Keywords:
\(\alpha\)-complete metric space; \((\alpha,F)\)-contraction; common fixed point; four maps; coincidence pointReferences:
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