Novel forward-backward algorithms for optimization and applications to compressive sensing and image inpainting

DOI10.1186/s13662-021-03422-9zbMath1494.65043OpenAlexW3164853137MaRDI QIDQ2167003

Suthep Suantai, Prasit Cholamjiak, Kunrada Kankam, Muhammad Aslam Noor

Publication date: 25 August 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-021-03422-9

zbMATH Keywords

minimization problemcompressive sensingimage inpaintingforward-backward algorithm

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Numerical optimization and variational techniques (65K10) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18)

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Cites Work

• Strong convergence theorem for strict pseudo-contractions in Hilbert spaces
• A three-operator splitting scheme and its optimization applications
• New trends in general variational inequalities
• Dykstra's alternating projection algorithm for two sets
• New approximation schemes for general variational inequalities
• A strong convergence result involving an inertial forward-backward algorithm for monotone inclusions
• An inertial forward-backward splitting method for solving inclusion problems in Hilbert spaces
• Some developments in general variational inequalities
• A relaxed projection method using a new linesearch for the split feasibility problem
• On the convergence of the forward–backward splitting method with linesearches
• Proximal Splitting Methods in Signal Processing
• A Singular Value Thresholding Algorithm for Matrix Completion
• Convergence Rates in Forward--Backward Splitting
• Some problems in the fixed point theory
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• On convergence and complexity of the modified forward‐backward method involving new linesearches for convex minimization
• Signal Recovery by Proximal Forward-Backward Splitting
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Convex analysis and monotone operator theory in Hilbert spaces