A Note on Kantorovich's Majorant Method

DOI10.1080/01630563.2010.519132zbMath1219.47078OpenAlexW1977684019MaRDI QIDQ3068656

Gerd Herzog

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.519132

zbMATH Keywords

fixed point theoremHausdorff measure of noncompactnessKantorovich majorant

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

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• On a class of measures of noncompactness in Banach algebras and their application to nonlinear integral equations
• The method of successive approximations for functional equations
• A One-Sided Version of a Theorem of Kantorovich

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