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In this paper, we propose a parameterized variable metric three-operator algorithm for finding a zero of the sum of three monotone operators in a real Hilbert space. Under some appropriate… Click to show full abstract
In this paper, we propose a parameterized variable metric three-operator algorithm for finding a zero of the sum of three monotone operators in a real Hilbert space. Under some appropriate conditions, we prove the strong convergence of the proposed algorithm. Furthermore, we propose a parameterized variable metric three-operator algorithm with a multi-step inertial term and prove its strong convergence. Finally, we illustrate the effectiveness of the proposed algorithm with numerical examples.
Keywords:
three operator;
variable metric;
convergence;
parameterized variable;
metric three
Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
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Journal Title: Axioms
Year Published: 2023
Link to full text (if available)
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recommendations!