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An iterative algorithm for hemicontractive mappings in Banach spaces - MaRDI portal

An iterative algorithm for hemicontractive mappings in Banach spaces (Q448648)

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scientific article; zbMATH DE number 6078703
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An iterative algorithm for hemicontractive mappings in Banach spaces
scientific article; zbMATH DE number 6078703

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    An iterative algorithm for hemicontractive mappings in Banach spaces (English)
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    7 September 2012
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    Summary: We first introduce a three-step iterative algorithm for approximating the fixed points of the hemicontractive mappings in Banach spaces. Consequently, we prove the strong convergence of the proposed algorithm under some assumptions. Since three-step iterations include Ishikawa iterations as special cases, our result continue to hold for these problems. Our main results can be viewed as an important refinement of the previously known results.
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    three-step iterative algorithm
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    hemicontractive mappings in Banach spaces
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