Invariant approximation results via common fixed point theorems for generalized weak contraction maps (Q1724899)
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scientific article; zbMATH DE number 7023019
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Invariant approximation results via common fixed point theorems for generalized weak contraction maps |
scientific article; zbMATH DE number 7023019 |
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Invariant approximation results via common fixed point theorems for generalized weak contraction maps (English)
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14 February 2019
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Summary: A common fixed point theorem for generalized \(\left(\varphi, \phi, L\right)_{f, g}\)-weak contraction in a metric space is established. As an application, some common fixed point results in normed linear spaces are obtained. We also study some results on best approximation via common fixed point theorems. Our result improves some results from the existing literature. Some illustrative examples to highlight the realized improvements are also furnished.
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