Analyzes convergence rates of Tseng's splitting method and two accelerated schemes for monotone inclusion problems with sum of Hölder continuous operators.
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math.OC 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Anchoring is realized as operator-side Tikhonov regularization before applying the base method, recovering Halpern iteration from Picard and producing new regularized forward-step, EG, and PEG variants with O(1/k) or O(1/sqrt(k)) residual rates under monotone Lipschitz assumptions.
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Convergence Rates of Tseng's Splitting Method and Its Acceleration Schemes for Monotone Inclusion Problem with a Sum of H\"older Continuous Operators
Analyzes convergence rates of Tseng's splitting method and two accelerated schemes for monotone inclusion problems with sum of Hölder continuous operators.
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A Unifying View of Anchoring via Operator-Side Tikhonov Regularization
Anchoring is realized as operator-side Tikhonov regularization before applying the base method, recovering Halpern iteration from Picard and producing new regularized forward-step, EG, and PEG variants with O(1/k) or O(1/sqrt(k)) residual rates under monotone Lipschitz assumptions.