Iterative solution of unstable variational inequalities on approximately given sets

DOI10.1155/S1085337596000024zbMath0932.49014OpenAlexW2114161831MaRDI QIDQ1809782

Athanassios G. Kartsatos, E. Litsyn, Ya. I. Al'ber

Publication date: 23 February 2000

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/48352

zbMATH Keywords

stabilityconvergencevariational inequalitiesperturbationsconvex setsLyapunov functionalsmonotone operatorsiterative regularization methodHausdorff distances

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Perturbation theory of linear operators (47A55) Stability and convergence of numerical methods for ordinary differential equations (65L20)

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The Generalized Forward-Backward Splitting Method for the Minimization of the Sum of Two Functions in Banach Spaces ⋮ Iteratively regularized Landweber iteration method: convergence analysis via Hölder stability ⋮ An analysis of a multi-level projected steepest descent iteration for nonlinear inverse problems in Banach spaces subject to stability constraints ⋮ Regularization of monotone variational inequalities with Mosco approximations of the constraint sets ⋮ The analysis study on nonlinear iterative methods for inverse problems

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