Majorization fixed point principle and application to nonlinear integral equations

zbMath1288.47051arXiv1101.3671MaRDI QIDQ2873972

Yulia V. Korots, Peter P. Zabreĭko

Publication date: 28 January 2014

Full work available at URL: https://arxiv.org/abs/1101.3671

zbMATH Keywords

local Lipschitz conditiona priori and a posteriori error estimatesBanach-Caccioppoli fixed point principleequations with polynomial operatorsgeneralized Uryson equationsKantorovich majorant fixed point principlemixed Hammerstein equations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Other nonlinear integral equations (45G10) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Nonlinear ill-posed problems (47J06)

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