On an affinity principle by Krasnoselskii
Classical Analysis and ODEs
2021-07-09 v1 Functional Analysis
Abstract
An abstract formulation of a duality principle established by Krasnoselskii is presented. Under appropriate conditions, it shall be shown that, if the solutions of a nonlinear functional equation can be obtained by finding fixed points of certain operators in possibly different Banach spaces, then these operators share some topological properties.
Keywords
Cite
@article{arxiv.2107.03842,
title = {On an affinity principle by Krasnoselskii},
author = {Pablo Amster and Julián Epstein},
journal= {arXiv preprint arXiv:2107.03842},
year = {2021}
}