Iterative solutions of parameter-dependent nonlinear equations of Hammerstein type

DOI10.1016/S0898-1221(97)00193-4zbMath0889.65065OpenAlexW2082056235MaRDI QIDQ1376704

J. Ning

Publication date: 18 June 1998

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(97)00193-4

zbMATH Keywords

numerical examplenonlinearBanach spaceHammerstein type equationcontraction mapping method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for integral equations (65R20) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Numerical solutions to equations with nonlinear operators (65J15) Abstract integral equations, integral equations in abstract spaces (45N05)

Cites Work

• Unnamed Item
• The iterative solution of the equation \(f\in x+Tx\) for a monotone operator T in \(L^ p\) spaces
• Fixed point iterations for nonlinear Hammerstein equation involving nonexpansive and accretive mappings
• Iterative solution of nonlinear equations involving \(m\)-accretive operators in Banach spaces
• A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces
• On Alaoglu's theorem, bornological spaces and the Mackey-Ulam theorem
• Iterative solution of nonlinear equations of the monotone type in Banach spaces
• Iterative solution of nonlinear equations of the monotone and dissipative types
• An Iterative Process for Nonlinear Monotonic Nonexpansive Operators in Hilbert Space
• Fixed Points by a New Iteration Method
• Mean Value Methods in Iteration

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