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Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to volterra integral equations

Agarwal, Ravi P.
; 
O'Regan, Donal
; 
Taoudi, Mohamed-Aziz
Repository DOI
Publication Date
2012-06-01
Keywords
convex-power condensing operators, fixed point theorems, measure of weak noncompactness, banach-spaces, differential-equations, noncompactness, existence
Type
Article
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Citation
Agarwal, Ravi P. O'Regan, Donal; Taoudi, Mohamed-Aziz (2012). Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to volterra integral equations. Journal of Integral Equations and Applications 24 (2), 167-181
Abstract
In this paper we present new fixed point theorems for weakly sequentially continuous mappings which are convex-power condensing relative to a measure of weak noncompactness. Our fixed point results extend and improve several earlier works. As an application, we investigate the existence of weak solutions to a Volterra integral equation.
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Publisher
Rocky Mountain Mathematics Consortium
Publisher DOI
10.1216/jie-2012-24-2-167
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)