A new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions

Hemant Pathak, Naseer Shahzad
2012 Electronic Journal of Qualitative Theory of Differential Equations  
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