A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem
Mathematical Physics
2009-02-26 v1 math.MP
Abstract
A generalization of the classical Leray-Schauder fixed point theorem, based on the in finite- dimensional Borsuk-Ulam type antipode construction, is proposed. Two completely different proofs based on the projection operator approach and on a weak version of the well known Krein-Milman theorem are presented.
Cite
@article{arxiv.0902.4416,
title = {A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem},
author = {Anatoliy K. Prykarpatsky},
journal= {arXiv preprint arXiv:0902.4416},
year = {2009}
}