A positive fixed point theorem with applications to systems of Hammerstein integral equations

Alberto Cabada, José Ángel Cid, Gennaro Infante

Published 2014-08-16Version 1

We present new criteria on the existence of fixed points that combine some monotonicity assumptions with the classical fixed point index theory. As an illustrative application, we use our theoretical results to prove the existence of positive solutions for systems of nonlinear Hammerstein integral equations. An example is also presented to show the applicability of our results.