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In this paper, a generalization of Nadler's fixed point theorem is presented for H + -type k-multivalued weak contractive mappings. We consider a nonconvex Hammerstein type integral inclusion and prove an existence theorem by using an H + -type multi-valued weak contractive mapping.doi:10.14232/ejqtde.2012.1.62 fatcat:7dhs4ce6qrdp3mrfw7m6ziofgm