The iterative solution of the equation \(f\in x+Tx\) for a monotone operator T in \(L^ p\) spaces

DOI10.1016/S0022-247X(86)80017-8zbMath0606.47067MaRDI QIDQ1084655

Charles E. Chidume

Publication date: 1986

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

zbMATH Keywords

explicit error estimateiteratively constructed sequencesingle-valued locally Lipschitzian monotone operator with open domain

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

• Monotone (nonlinear) operators in Hilbert space
• On the extension and the solution of nonlinear operator equations
• Nonlinear semigroups and evolution equations
• Local boundedness of nonlinear, monotone operators
• The solvability of non-linear functional equations
• The iterative solution of the equation $y \in x + Tx$ for a monotone operator $T$ in Hilbert space
• Nonlinear elliptic boundary value problems
• The closure of the numerical range contains the spectrum
• NONLINEAR MONOTONE AND ACCRETIVE OPERATORS IN BANACH SPACES
• Nonlinear mappings of nonexpansive and accretive type in Banach spaces
• A Global Existence Theorem for Autonomous Differential Equations in a Banach Space
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