Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation (Q472505)
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scientific article; zbMATH DE number 6371122
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation |
scientific article; zbMATH DE number 6371122 |
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Unified metrical common fixed point theorems in 2-metric spaces via an implicit relation (English)
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19 November 2014
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Summary: We prove some common fixed point theorems for two pairs of weakly compatible mappings in 2-metric spaces via an implicit relation. As an application to our main result, we derive Bryant's type generalized fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results. Moreover, we study the existence of solutions of a nonlinear integral equation.
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common fixed-point theorem
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pairs of weakly compatible mappings
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2-metric space
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Bryant-type generalized fixed-point theorem
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0.96066046
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0.9410161
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