Fixed points of Hammerstein-type equations on general cones

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.

References in corpus (2)

• A positive fixed point theorem with applications to systems of Hammerstein integral equations
• A topological approach to periodic oscillations related to the Liebau phenomenon