Fixed point theory for countably weakly condensing maps and multimaps in non-separable Banach spaces

DOI10.1007/S11784-018-0644-0zbMath1504.47081OpenAlexW2904006973WikidataQ128787104 ScholiaQ128787104MaRDI QIDQ1716168

Saoussen Derbel, Afif Ben Amar, Tian Xiang, Donal O'Regan

Publication date: 29 January 2019

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-018-0644-0

zbMATH Keywords

integral equationmeasure of weak noncompactnessweakly sequentially continuous\(w\)-weakly closed graphweakly countably \(1-\)set-contractiveweakly countably condensing

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 (8)

Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Approximate Fixed Point Theory for Countably Condensing Maps and Multimaps and Applications ⋮ Fixed points and eigenvalues for countably asymptotically \(\Phi\)-nonexpansive operators on convex sets under asymptotic contractive-type conditions ⋮ Leray-Schauder fixed point theorems for block operator matrix with an application ⋮ Existence results for nonexpansive multi-valued operators and nonlinear integral inclusions ⋮ New fixed point theorems for countably condensing maps with an application to functional integral inclusions ⋮ Fixed point theorems for countably asymptotically Ф-nonexpansive maps in locally convex spaces and application ⋮ Equivalence of some properties in the theory of Banach algebras and applications

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