Convergence of Halpern’s Iteration Method with Applications in Optimization
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Publication:5067640
DOI10.1080/01630563.2021.2001826zbMath1503.47110OpenAlexW3215174530MaRDI QIDQ5067640
Publication date: 4 April 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2021.2001826
variational inequalitynonexpansive mappingprojectionHalpern iterationmonotone inclusioninverse strongly monotone
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Research exposition (monographs, survey articles) pertaining to operator theory (47-02) Fixed-point iterations (47J26)
Related Items (4)
Convergence analysis of the Halpern iteration with adaptive anchoring parameters ⋮ Fast Krasnosel’skiĭ–Mann Algorithm with a Convergence Rate of the Fixed Point Iteration of \(\boldsymbol{{ o} \left(\frac{1}{{ k}} \right)}\) ⋮ Strong convergence of forward-reflected-backward splitting methods for solving monotone inclusions with applications to image restoration and optimal control ⋮ Two-step inertial forward-reflected-anchored-backward splitting algorithm for solving monotone inclusion problems
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