Abstract
In this paper, a generalization of Nadler's fixed point theorem is presented. In the sequel, we consider a nonconvex integral inclusion and prove a Filippov type existence theorem by using an appropriate norm on the space of selection of the multifunction and a $H^+$-type contraction for set-valued maps.
Citation
Hemant Kumar Pathak. Naaser Shahzad. "A generalization of Nadler’s fixed point theorem and its application to nonconvex integral inclusions." Topol. Methods Nonlinear Anal. 41 (1) 207 - 227, 2013.
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