Iterative algorithms for finding the zeroes of sums of operators

DOI10.1186/1029-242X-2014-349zbMath1337.47098WikidataQ59323181 ScholiaQ59323181MaRDI QIDQ257889

Luo Yi Shi, Yu Jing Wu, Ru Dong Chen

Publication date: 17 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergenceiterative algorithmssplit equality problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05)

Related Items

Projection and contraction methods for constrained convex minimization problem and the zero points of maximal monotone operator

Cites Work

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• Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
• On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
• Une méthode itérative de résolution d'une inéquation variationnelle
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• A family of projective splitting methods for the sum of two maximal monotone operators
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings

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