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Coupled coincidence point theorem in partially ordered metric spaces via implicit relation - MaRDI portal

Coupled coincidence point theorem in partially ordered metric spaces via implicit relation (Q448818)

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scientific article; zbMATH DE number 6078812
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Coupled coincidence point theorem in partially ordered metric spaces via implicit relation
scientific article; zbMATH DE number 6078812

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    Coupled coincidence point theorem in partially ordered metric spaces via implicit relation (English)
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    7 September 2012
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    Summary: We prove a coupled coincidence point theorem for mappings \(F : X \times X \rightarrow X\) and \(g : X \rightarrow X\), where \(F\) has the mixed \(g\)-monotone property, in partially ordered metric spaces via implicit relations. Our result extends and improves several results in the literature. Examples are also given to illustrate our work.
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    coincidence point theorem
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    partially ordered metric spaces
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