Coincidence theorems for nonlinear hybrid contractions (Q1363334)
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scientific article; zbMATH DE number 1046331
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Coincidence theorems for nonlinear hybrid contractions |
scientific article; zbMATH DE number 1046331 |
Statements
Coincidence theorems for nonlinear hybrid contractions (English)
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7 August 1997
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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.
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weakly commuting operator
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generalized contractions
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coincidence point
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