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Computing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterations - MaRDI portal

Computing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterations (Q448665)

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scientific article; zbMATH DE number 6078714
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Computing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterations
scientific article; zbMATH DE number 6078714

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    Computing the fixed points of strictly pseudocontractive mappings by the implicit and explicit iterations (English)
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    7 September 2012
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    Summary: It is known that strictly pseudocontractive mappings have more powerful applications than nonexpansive mappings in solving inverse problems. In this paper, we study computing the fixed points of strictly pseudocontractive mappings by iterations. Two iterative methods (one implicit and another explicit) for finding the fixed point of strictly pseudocontractive mappings are constructed in Hilbert spaces. As special cases, we can use these two methods to find the minimum norm fixed point of strictly pseudocontractive mappings.
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