Open Access
2014 An Extension of Darbo’s Theorem and Its Application
A. Samadi, M. B. Ghaemi
Abstr. Appl. Anal. 2014: 1-11 (2014). DOI: 10.1155/2014/852324


Here, some extensions of Darbo fixed point theorem associated with measures of noncompactness are proved. Then, as an application, our attention is focused on the existence of solutions of the integral equation x(t)=F(t,f(t,x(α1(t)), x(α2(t))), ((Tx)(t)/Γ(α))×0t(u(t,s,max[0,r(s)]|x(γ1(τ))|, max[0,r(s)]|x(γ2(τ))|)/(t-s)1-α)ds, 0v(t,s,x(t))ds), 0<α1,t[0,1] in the space of real functions defined and continuous on the interval [0,1].


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A. Samadi. M. B. Ghaemi. "An Extension of Darbo’s Theorem and Its Application." Abstr. Appl. Anal. 2014 1 - 11, 2014.


Published: 2014
First available in Project Euclid: 2 October 2014

zbMATH: 06704812
MathSciNet: MR3212455
Digital Object Identifier: 10.1155/2014/852324

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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