The prox-Tikhonov regularization method for the proximal point algorithm in Banach spaces

DOI10.1007/s10898-011-9647-8zbMath1247.47048OpenAlexW2084700603MaRDI QIDQ656965

Daya Ram Sahu, Jen-Chih Yao

Publication date: 13 January 2012

Published in: Journal of Global Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10898-011-9647-8

zbMATH Keywords

accretive operatorstrong convergencezerosmaximal monotone operatorBanach spaceuniformly Gâteaux differentiable normresolvent identityproximal point algorithmmetric projection mappingregularisation methodprox-Tikhonov regularization method

Mathematics Subject Classification ID

Variational inequalities (49J40) Monotone operators and generalizations (47H05) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15)

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