A common fixed point theorem in metric space under general contractive condition (Q1789966)
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scientific article; zbMATH DE number 6950717
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A common fixed point theorem in metric space under general contractive condition |
scientific article; zbMATH DE number 6950717 |
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A common fixed point theorem in metric space under general contractive condition (English)
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10 October 2018
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Summary: We prove a common fixed point theorem for two pairs of compatible and subsequentially continuous (alternately subcompatible and reciprocally continuous) mappings satisfying a general contractive condition in a metric space. Some illustrative examples are furnished to highlight the realized improvements. Our result improves the main result of \textit{S. Sedghi} and \textit{N. Shobe} [Bull. Iran. Math. Soc. 33, No. 2, 37--47 (2007; Zbl 1148.54341)].
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