Schauder Fixed Point Theory
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.
KeywordsLinear Space Convex Subset Convergent Subsequence Normed Linear Space Bounded Convex
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