Fixed point theorems for convex-power condensing operators relative to the weak topology and applications to Volterra integral equations

DOI10.1216/JIE-2012-24-2-167zbMath1252.47051MaRDI QIDQ452483

Ravi P. Agarwal, Mohamed-Aziz Taoudi, Donal O'Regan

Publication date: 21 September 2012

Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.jiea/1340369460

zbMATH Keywords

fixed point theoremsmeasure of weak noncompactnessVolterra equationconvex-power condensing operators

Mathematics Subject Classification ID

Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Fixed-point theorems (47H10) Volterra integral equations (45D05) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application, Krasnosel'skii-type fixed point theorems for convex-power condensing mappings in locally convex spaces, Krasnosel'skii-type fixed point theorems with applications to Volterra integral equations

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