Convergence theorems for finite family of multivalued maps in uniformly convex Banach spaces (Q642843)

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scientific article; zbMATH DE number 5964492
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Convergence theorems for finite family of multivalued maps in uniformly convex Banach spaces
scientific article; zbMATH DE number 5964492

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    Convergence theorems for finite family of multivalued maps in uniformly convex Banach spaces (English)
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    27 October 2011
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    Summary: We introduce a new iterative process to approximate a common fixed point of a finite family of multivalued maps in a uniformly convex real Banach space and establish strong convergence theorems for the proposed process. Furthermore, strong convergence theorems for finite family of quasi-nonexpansive multivalued mapping are obtained. Our results extend important recent results.
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    common fixed point
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    multivalued map
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    uniformly convex real Banach space
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    quasi-nonexpansive multivalued mapping
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