Abstract
This research deals with Krasnoselskii’s fixed point theorem where the entries operators do not need to be G-weakly compact and contraction. These results were obtained by using the so-called generalized measure of weak noncompactness and some user-friendly lemmas. Moreover, these gained fixed point results are applied to study the existence of solutions of a coupled system for integral equations in the generalized Banach space mathcal{{ C }} ( [0,1], E_{1} )times mathcal{{ C }} ( [0,1], E_{2} ) .
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