Abstract
The purpose of this chapter is to extend the Brouwer fixed point theory of maps of euclidean spaces to results about maps on normed linear spaces in general. Then, in the next chapter, we will combine the Ascoli-Arzela theory with this material to draw conclusions about fixed points of maps, specifically on those Ck spaces we discussed in Chapter 2.
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© 2004 Springer Science+Business Media New York
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Brown, R.F. (2004). Schauder Fixed Point Theory. In: A Topological Introduction to Nonlinear Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8124-1_4
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DOI: https://doi.org/10.1007/978-0-8176-8124-1_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3258-8
Online ISBN: 978-0-8176-8124-1
eBook Packages: Springer Book Archive