Fixed point theorems for convex-power condensing operators relative to the weak topology and appli- cations to volterra integral equations
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2012-06-01Author
Agarwal, Ravi P.
O'Regan, Donal
Taoudi, Mohamed-Aziz
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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
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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.