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Coincidence theorems for nonlinear hybrid contractions. (English) Zbl 0879.54053

Let \((X,d)\) be a complete metric space, \(f:X \to X\) a single-valued operator and \(S:X \multimap X\) a multivalued operator. An element \(x\in X\) is a coincidence point of \(f\) and \(S\) iff \(f(x) \in S(x)\). In this paper, the authors give some coincidence theorems for operators satisfying a rational inequality.
Reviewer’s remark: There are several misprints in this paper.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
47H10 Fixed-point theorems
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