An extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces

DOI10.1155/2009/591874zbMath1186.47076OpenAlexW2092676407WikidataQ59248734 ScholiaQ59248734MaRDI QIDQ1035117

Somyot Plubtieng, Wanna Sriprad

Publication date: 10 November 2009

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/45696

zbMATH Keywords

weak convergencevariational inequalitymaximal monotone operatorconvex minimization probleminverse strongly-monotone operator

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

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Cites Work

• Quelques propriétés des opérateurs angle-bornes et n-cycliquement monotones
• Strong convergence theorems for resolvents of maximal monotone operators in Banach spaces
• Weak and strong convergence theorems for maximal monotone operators in a Banach space
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• Weak convergence of a projection algorithm for variational inequalities in a Banach space
• Inequalities in Banach spaces with applications
• Monotone Operators and the Proximal Point Algorithm
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space