Fixed point theorem for orthogonal contraction of Hardy-Rogers-type mapping on \(O\)-complete metric spaces. (English) Zbl 1485.54062
Summary: In this paper, we introduce the notion of an orthogonal \((F, \psi )\)-contraction of Hardy-Rogers-type mapping and prove some fixed point theorem for such contraction mappings in orthogonally metric spaces. Our result extends and improves the main result of [K. Sawangsup et al., J. Fixed Point Theory Appl. 22, No. 1, Paper No. 10, 14 p. (2020; Zbl 1489.54218)].
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E40 | Special maps on metric spaces |
Citations:
Zbl 1489.54218References:
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