A Schauder-type fixed point theorem

Document Type

Article

Publication Date

9-15-2014

Abstract

In this brief note we study Schauder's second fixed point theorem in the space (BC, {norm of matrix}{dot operator}{norm of matrix}) of bounded continuous functions ?:[0, ?)??n with a view to reducing the requirement that there is a compact map to the requirement that the map is locally equicontinuous. Several examples are given, both motivating and applying the theory. © 2014 Elsevier Inc.

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