Schauder Fixed Point Theory

Robert F. Brown
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Robert F. Brown: University of California, Department of Mathematics

Chapter 4 in A Topological Introduction to Nonlinear Analysis, 2004, pp 23-28 from Springer

Abstract: 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.

Keywords: Linear Space; Convex Subset; Convergent Subsequence; Normed Linear Space; Bounded Convex (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8124-1_4

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