Noncompactness principles in nonlinear operator approximation theory

DOI10.2140/pjm.1984.115.13zbMath0498.47024OpenAlexW2059010134MaRDI QIDQ1171274

Jürgen Appell, Maria Patrizia Pera

Publication date: 1984

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1984.115.13

zbMATH Keywords

condensing operatorsdifferential equations in Banach spacesnoncompact operatorsapproximate solution of nonlinear equationslack of discrete compactnessmeasure of discrete noncompactnessnoncompact convergencenonlinear operator approximation

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Nonlinear differential equations in abstract spaces (34G20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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A Solution of the System of Integral Equations in Product Spaces via Concept of Measures of Noncompactness ⋮ Existence and approximation of fixed points for multivalued maps

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