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Viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problems - MaRDI portal

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Viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problems (Q1725171)

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scientific article; zbMATH DE number 7023230
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English
Viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problems
scientific article; zbMATH DE number 7023230

    Statements

    Viscosity approximation methods with errors and strong convergence theorems for a common point of pseudocontractive and monotone mappings: solutions of variational inequality problems (English)
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    14 February 2019
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    Summary: We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. The strong convergence theorems are obtained under some mild conditions. Our theorems extend and unify some of the results that have been proposed for this class of nonlinear mappings.
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    proximal iterative algorithms with errors
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    variational inequality problems
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    pseudocontractive mappings
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    strong convergence
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