On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings (Q1382386)
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scientific article; zbMATH DE number 1134610
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings |
scientific article; zbMATH DE number 1134610 |
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On the convergence of the Ishikawa iterates to a common fixed point for a pair of multi-valued mappings (English)
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26 March 1998
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\textit{R. A. Rashwan} [Demonstr. Math. 28, 271-274 (1995; Zbl 0862.47037)] has shown that, for a pair of self-mappings \(S\), \(T\) satisfying some contractive conditions, if the sequence of Ishikawa iterates associated with \(S\) or \(T\) is convergent, then its limit point is a common fixed point of \(S\) and \(T\). In the present paper, the author extends these results for a pair of multi-valued mappings \(S\), \(T\) in normed spaces, using the Ishikawa iteration process.
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fixed point theorems
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multi-valued mappings
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Ishikawa iterates
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Hausdorff metric
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