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Strong and weak convergence theorems for equilibrium problems and weak relatively uniformly nonexpansive multivalued mappings in Banach spaces - MaRDI portal

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Strong and weak convergence theorems for equilibrium problems and weak relatively uniformly nonexpansive multivalued mappings in Banach spaces (Q1938218)

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scientific article; zbMATH DE number 6134104
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English
Strong and weak convergence theorems for equilibrium problems and weak relatively uniformly nonexpansive multivalued mappings in Banach spaces
scientific article; zbMATH DE number 6134104

    Statements

    Strong and weak convergence theorems for equilibrium problems and weak relatively uniformly nonexpansive multivalued mappings in Banach spaces (English)
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    4 February 2013
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    Summary: An equilibrium problem and a fixed point problem are considered. A~general iterative algorithm is introduced for finding a common element of the set of solutions to the equilibrium problem and the common set of fixed points of two weak relatively uniformly nonexpansive multivalued mappings. Furthermore, strong and weak convergence results for the common element in the two sets mentioned above are established in some Banach space.
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    equilibrium problem
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    iterative algorithm
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    common set of fixed points
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    weak relatively uniformly nonexpansive multivalued mappings
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