Electronic Journal of Qualitative Theory of Differential Equations (Aug 2012)
A new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions
Abstract
In this paper, a generalization of Nadler's fixed point theorem is presented for $H^+$-type $k$-multi-valued 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.
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