Strong Convergence of Forward–Reflected–Backward Splitting Methods for Solving Monotone Inclusions with Applications to Image Restoration and Optimal Control

In this paper, we propose and study several strongly convergent versions of the forward–reflected–backward splitting method of Malitsky and Tam for finding a zero of the sum of two monotone operators in a real Hilbert space. Our proposed methods only require one forward evaluation of the single-valu...

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Bibliographic Details
Published in:	Journal of scientific computing Vol. 94; no. 3; p. 73
Main Authors:	Izuchukwu, Chinedu, Reich, Simeon, Shehu, Yekini, Taiwo, Adeolu
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.03.2023 Springer Nature B.V
Subjects:	Algorithms Approximation Computational Mathematics and Numerical Analysis Convergence Hilbert space Image restoration Inclusions Mathematical and Computational Engineering Mathematical and Computational Physics Mathematics Mathematics and Statistics Methods Operators (mathematics) Optimal control Optimization Splitting Theoretical Viscosity Viscosity iteration Monotone inclusion Strong convergence 47H10 49J20 Forward–reflected–backward method 49J40 47H09 Halpern’s iteration Inertial method
ISSN:	0885-7474, 1573-7691
Online Access:	Get full text
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