On approximate solution for operator equations of Hammerstein type
DOI10.1016/S0377-0427(96)00060-XzbMath0970.65061MaRDI QIDQ2564283
Publication date: 10 July 1997
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
convergencenumerical examplesFréchet differentiableiteration methodmonotone operatorsuniformly convex Banach spacesoperator equation of Hammerstein typeweakly lower semi-continuous functional
Iterative procedures involving nonlinear operators (47J25) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Nonlinear ill-posed problems (47J06) Numerical solutions to equations with nonlinear operators (65J15) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the solution of nonlinear equations with monotone operators in a Banach space
- Ein Existenz- und Eindeutigkeitssatz für die Hammersteinsche Gleichung in Banachräumen
- Über die näherungsweise Lösung nichtlinearer Integralgleichungen
- Finite-dimensional approximation of tikhonov regularized solutions of non-linear ill-posed problems
- EXISTENCE THEOREMS FOR EQUATIONS OF HAMMERSTEIN TYPE
- Convergence rates for Tikhonov regularisation of non-linear ill-posed problems
- Tikhonov regularisation for non-linear ill-posed problems: optimal convergence rates and finite-dimensional approximation
- Superconvergence of a Collocation-type Method for Hummerstein Equations
- New Existence Theorems for Nonlinear Equations of Hammerstein Type
- NONLINEAR EQUATIONS OF HAMMERSTEIN TYPE WITH POTENTIAL AND MONOTONE OPERATORS IN BANACH SPACES