A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem

Details A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem A Borsuk-Ulam Type Generalization of the Leray-Schauder Fixed Point Theorem

2009-02-25

arxiv.org/abs/0902.4416v1

Physics

Mathematical Physics

Scientific paper

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.

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