Leray–Schauder Degree

Robert F. Brown

Chapter Chapter 10 in A Topological Introduction to Nonlinear Analysis, 2014, pp 71-76 from Springer

Abstract: Abstract The objective of Leray–Schauder degree theory is the same as that of the fixed point theory of the first part of the book. We want to demonstrate that if certain hypotheses are satisfied, then we can conclude that a map f has a fixed point, that is, that f(x) = x.

Keywords: Fixed Point Theorem; Fixed Point Theory; Normed Linear Space; Degree Theory; Nonzero Degree (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11794-2_10

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