Open AccessA new fixed point result and its application to existence theorem for nonconvex Hammerstein type integral inclusions
Author(s) -
H. K. Pathak,
Naseer Shahzad
Publication year - 2012
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2012.1.62
Subject(s) - mathematics , type (biology) , fixed point theorem , generalization , fixed point , pure mathematics , mathematical analysis , discrete mathematics , ecology , biology
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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