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A hybrid proximal algorithm for the sum of monotone operators with multivalued mappings - MaRDI portal

A hybrid proximal algorithm for the sum of monotone operators with multivalued mappings (Q1644411)

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scientific article; zbMATH DE number 6892801
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A hybrid proximal algorithm for the sum of monotone operators with multivalued mappings
scientific article; zbMATH DE number 6892801

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    A hybrid proximal algorithm for the sum of monotone operators with multivalued mappings (English)
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    21 June 2018
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    Summary: We modify a hybrid method and a proximal point algorithm to iteratively find a zero point of the sum of two monotone operators and fixed point of nonspreading multivalued mappings in a Hilbert space by using the technique of forward-backward splitting method. The strong convergence theorem is established and the illustrative numerical example is presented on this work. The results of this paper extend and improve some well-known results in the literature.
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    hybrid method
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    proximal point algorithm
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    nonspreading multivalued mapping
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    Hilbert space
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    forward-backward splitting method
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    strong convergence
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