Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces (Q1749089)
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scientific article; zbMATH DE number 6868714
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces |
scientific article; zbMATH DE number 6868714 |
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Common coupled fixed point theorem for Geraghty-type contraction in partially ordered metric spaces (English)
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15 May 2018
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Summary: We study the existence and uniqueness of common coupled fixed point of four self-mappings for Geraghty-type contraction using weakly compatible mappings in partially ordered metric spaces with common limit range property (denoted by \((\operatorname{CLR}_{\operatorname{ST}})\)), the property of E.A, and so on. It is noted that the continuity of mappings and completeness of spaces can be removed. Our results improve, extend, complement, and generalize several existing results in the literature. Also, some examples are provided to illustrate the usability of our results.
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