A generalization of Darbo's theorem with application to the solvability of systems of integral equations

In most cases authors are permitted to post their version of the article (e.g. in Word or Tex form) to their personal website or institutional repository. Authors requiring further information regarding Elsevier's archiving and manuscript policies are encouraged to visit: MSC: 47H09 47H10 34A12 Keywords: Measure of noncompactness Modulus of continuity Coupled fixed point System of integral equations a b s t r a c t In this paper, we give an extension of Darbo's fixed point theorem associated with measures of noncompactness, and present some results on the existence of coupled fixed points for a class of condensing operators in Banach spaces. Moreover, as an application, we study the problem of existence of solutions for a general system of nonlinear integral equations.