Fixed points of Hammerstein-type equations on general cones
Classical Analysis and ODEs
2016-11-09 v1
Abstract
We obtain new results on the existence and multiplicity of fixed points of Hammerstein equations in very general cones. In order to achieve this, we combine a new formulation of cones in terms of continuous functionals with fixed point index theory. Many examples and an application to boundary value problems are also included.
Cite
@article{arxiv.1611.02487,
title = {Fixed points of Hammerstein-type equations on general cones},
author = {Rubén Figueroa and F. Adrián F. Tojo},
journal= {arXiv preprint arXiv:1611.02487},
year = {2016}
}