The forward-backward splitting methods for variational inequalities and minimization problems in Banach spaces

DOI10.1186/s13660-019-2035-5zbMath1499.65253OpenAlexW2941188672WikidataQ128123933 ScholiaQ128123933MaRDI QIDQ2067812

Wen Song, Wei-Bo Guan

Publication date: 19 January 2022

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

Full work available at URL: https://doi.org/10.1186/s13660-019-2035-5

zbMATH Keywords

maximal monotone operatorsvariational inequalitiesduality mappingBanach spaceforward-backward splitting methods

Mathematics Subject Classification ID

Convex programming (90C25) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Numerical methods for variational inequalities and related problems (65K15)

Cites Work

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• On the convergence of the forward-backward algorithm for null-point problems
• Minimum-norm solution of variational inequality and fixed point problem in banach spaces
• Signal Recovery by Proximal Forward-Backward Splitting

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