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

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.

Bibliographic Details
Main Authors: H. Pathak, N. Shahzad
Format: Article
Language:English
Published: University of Szeged 2012-08-01
Series:Electronic Journal of Qualitative Theory of Differential Equations
Subjects:
Online Access:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=974