A positive fixed point theorem with applications to systems of Hammerstein integral equations
Classical Analysis and ODEs
2014-12-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1408.3777,
title = {A positive fixed point theorem with applications to systems of Hammerstein integral equations},
author = {Alberto Cabada and José Ángel Cid and Gennaro Infante},
journal= {arXiv preprint arXiv:1408.3777},
year = {2014}
}
Comments
11 pages