Existence criteria for operator inclusions in abstract spaces

DOI10.1016/S0377-0427(99)00252-6zbMath0956.47032MaRDI QIDQ1963887

Ravi P. Agarwal, Donal O'Regan

Publication date: 3 February 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Hammerstein integral equationsoperator equationoperator inclusionscondensing set-valued mappingsfixed point theorem of Leray-Schauder type

Mathematics Subject Classification ID

Equations involving nonlinear operators (general) (47J05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Existence of solutions for Volterra integral inclusions ⋮ Nonlocal conditions for lower semicontinuous parabolic inclusions ⋮ Fixed point theorems for set-valued maps and existence principles for integral inclusions

Cites Work

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• Upper semicontinuity of Nemytskij operators
• Volterra and Urysohn integral equations in Banach spaces