Strong convergence theorems of a general iterative process for two nonexpansive mappings in Banach spaces (Q2912514)
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scientific article; zbMATH DE number 6082793
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Strong convergence theorems of a general iterative process for two nonexpansive mappings in Banach spaces |
scientific article; zbMATH DE number 6082793 |
Statements
14 September 2012
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common fixed points
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nonexpansive mapping
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strong convergence
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smooth Banach spaces
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iterative method
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Strong convergence theorems of a general iterative process for two nonexpansive mappings in Banach spaces (English)
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The authors extend a result of \textit{Y.-H. Yao}, \textit{M. A. Noor} and \textit{S. T. Mohyud-Din} [J. Appl. Math. Stochastic Anal. 2009, Article ID 320820 (2009; Zbl 1220.47137)] from Hilbert spaces to general Banach spaces. They introduce a general iterative scheme, under some mild conditions, to find a common fixed point of nonexpansive maps which is a unique solution of some variational inequality. The results are applied to solve some optimization problems.
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