Convex minimization problems based on an accelerated fixed point algorithm with applications to image restoration problems

DOI10.23952/jnva.7.2023.1.06OpenAlexW4311162906MaRDI QIDQ5058176

Suthep Suantai, Attapol Kaewkhao, Panadda Thongpaen, Warunun Inthakon

Publication date: 19 December 2022

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.7.2023.1.06

zbMATH Keywords

weak convergencenonexpansive mappingscommon fixed pointsinertial forward-backward splittingimages restoration problems

Mathematics Subject Classification ID

Operator theory (47-XX) Functional analysis (46-XX)

Uses Software

• UNLocBoX

Cites Work

• A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
• Fixed-point algorithms for inverse problems in science and engineering. Based on the presentations at the interdisciplinary workshop, BIRS, Banff, Canada, November 1--6, 2009.
• On strong convergence by the hybrid method for families of mappings in Hilbert spaces
• Fixed points of quasinonexpansive mappings
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Inertial forward-backward splitting method in Banach spaces with application to compressed sensing.
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Strong convergence theorems by the hybrid method for families of nonexpansive mappings in Hilbert spaces
• A parallel inertial S-iteration forward-backward algorithm for regression and classification problems
• Deblurring Images
• Splitting Algorithms for the Sum of Two Nonlinear Operators
• Algorithms for the regularization of ill-conditioned least squares problems
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Fixed Points by a New Iteration Method
• Computational Methods for Inverse Problems
• Weak and strong convergence of splitting algorithms in Banach spaces
• On convergence and complexity of the modified forward‐backward method involving new linesearches for convex minimization
• Signal Recovery by Proximal Forward-Backward Splitting
• Some methods of speeding up the convergence of iteration methods
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration
• Strong convergence of inertial forward–backward methods for solving monotone inclusions
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