A new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions
- Resource Type
- article
- Authors
- H. Pathak; N. Shahzad
- Source
- Electronic Journal of Qualitative Theory of Differential Equations, Vol 2012, Iss 62, Pp 1-13 (2012)
- Subject
- multi-valued contraction map
k-multi-valued weak contractive map
h+-type multi-valued weak contractive map
hammerstein type integral inclusion
fixed point
Mathematics
QA1-939
- Language
- English
- ISSN
- 1417-3875
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.