eng Science and Education Publishing Turkish Journal of Analysis and Number Theory 2333-1232 2017-04-05 5 2 69 79 10.12691/tjant-5-2-5 TJANT2017525 article Mohamed Boumaiza Mohamed.Boumaiza@essths.rnu.tn 1 Higher School of Sciences and Technologies of Hammam Sousse, Street Lamin El Abbassi 4011, Hammam Sousse, Tunisia In this paper, we present new multivalued analogues of the krasnoselskii fixed point theorems, for the sum AB+C, where the operators A;B and C are D-set Lipcshitzian with respect to a measure of non-compactness which satisfies condition (m). Our results generalize, prove and extend well-known results in the literature. An application to solving non linear integral inclusion is given. http://pubs.sciepub.com/tjant/5/2/5/tjant-5-2-5.pdf measure of noncompatness Banach algebras condensing multimap integral equations