Schauder Fixed Point Theory

  • Robert F. Brown


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.


Convex Subset Convergent Subsequence Normed Linear Space Point Property Compact Convex Subset 
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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Robert F. Brown
    • 1
  1. 1.Department of MathematicsUniversity of California, Los AngelesLos AngelesUSA

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