Published 12 issues per year
ISSN Print: 1064-2315
ISSN Online: 2163-9337
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A Strongly Convergent Splitting Method for Systems of Operator Inclusions with Monotone Operators
ABSTRACT
A new algorithm for solving a system of operator inclusions with monotone operators, acting in a Hilbert space, is proposed. The algorithm is based on two well-known methods: the Tseng splitting algorithm and version of the Halpern algorithm for approximating fixed points of a finite set of nonexpansive operators. The theorem on the strong convergence of the sequences, generated by the algorithm, is proved.
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Vedel Ya. I., Sandrakov G. V., Semenov V. V., An Adaptive Two-Stage Proximal Algorithm for Equilibrium Problems in Hadamard Spaces, Cybernetics and Systems Analysis, 56, 6, 2020. Crossref
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Eskandani Gholamreza Zamani, Raeisi Masoumeh, Solving a General Split Equality Problem Without Prior Knowledge of Operator Norms in Banach Spaces, Results in Mathematics, 76, 1, 2021. Crossref
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Vedel Ya. I., Denisov S. V., Semenov V. V., An Adaptive Algorithm for the Variational Inequality Over the Set of Solutions of the Equilibrium Problem, Cybernetics and Systems Analysis, 57, 1, 2021. Crossref
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Raeisi M., Chalack M., Zamani Eskandani G., Gradient projection-type algorithms for solving ϕ-strongly pseudomonotone equilibrium problems in Banach spaces, Optimization, 2021. Crossref
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Vedel Ya. I., Sandrakov G. V., Semenov V. V., Chabak L. M., Convergence of a Two-Stage Proximal Algorithm for the Equilibrium Problem in Hadamard Spaces, Cybernetics and Systems Analysis, 56, 5, 2020. Crossref
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Eskandani Gholamreza Zamani, Raeisi Masoumeh, An Iterative Explicit Algorithm for Solving Equilibrium Problems in Banach Spaces, Bulletin of the Malaysian Mathematical Sciences Society, 44, 6, 2021. Crossref