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A general fixed point theorem for two pairs of absorbing mappings in \(G_p\)-metric spaces - MaRDI portal

A general fixed point theorem for two pairs of absorbing mappings in \(G_p\)-metric spaces (Q2024151)

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scientific article; zbMATH DE number 7342921
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English
A general fixed point theorem for two pairs of absorbing mappings in \(G_p\)-metric spaces
scientific article; zbMATH DE number 7342921

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    A general fixed point theorem for two pairs of absorbing mappings in \(G_p\)-metric spaces (English)
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    3 May 2021
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    The author obtains a fixed point theorem for two pairs of absorbing mappings satisfying a new type of implicit relation (see [\textit{V. Popa}, ``Fixed point theorems for two pairs of mappings satisfying a new type of common limit range property'', Filomat 31, No. 11, 3181--3192 (2017)]), without weak compatibility in $G_p$-metric spaces. Also, as applications, some results for mappings satisfying contractive conditions of integral type are obtained.
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    fixed point
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    \(G_p\)-metric space
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    absorbing mapping
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    limit range property
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    almost altering distance
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    implicit relation
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