A generalized Suzuki-Berinde contraction that characterizes Banach spaces (Q6085004)
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scientific article; zbMATH DE number 7773404
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A generalized Suzuki-Berinde contraction that characterizes Banach spaces |
scientific article; zbMATH DE number 7773404 |
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A generalized Suzuki-Berinde contraction that characterizes Banach spaces (English)
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2 December 2023
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In the paper under review, a fixed point theorem for contractive type mappings is shown that characterizes completeness of the underlying normed space in the spirit of [\textit{T. Suzuki}, Proc. Am. Math. Soc. 136, No. 5, 1861--1869 (2008; Zbl 1145.54026)]. A counterpart of this theorem for multivalued mappings is given too.
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fixed point
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completeness
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Suzuki-Berinde type contraction
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multivalued mapping
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