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 C k spaces we discussed in Chapter 2.
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© 1993 Springer Science+Business Media New York
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Brown, R.F. (1993). Schauder Fixed Point Theory. In: A Topological Introduction to Nonlinear Analysis. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4757-1209-4_4
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DOI: https://doi.org/10.1007/978-1-4757-1209-4_4
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-3706-4
Online ISBN: 978-1-4757-1209-4
eBook Packages: Springer Book Archive