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Elementary Fixed Point Theorems
Hardcover
Series: Forum for Interdisciplinary Mathematics
ISBN13: 9789811331572
Publisher: Springer Nature
Published: Jan 21 2019
Pages: 302
Weight: 1.37
Height: 0.75 Width: 6.14 Depth: 9.21
Language: English
Discusses topics on basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski, their variants and their applications
Introduces finite-dimensional degree theory based on Heinz's approach and some geometric coefficients for Banach spaces
Explains Sharkovsky's theorem on periodic points and Thron's results on the convergence of iterates of certain real functions
Presents two classic counter-examples in fixed-point theory: one due to Huneke and other due to Kinoshita
Elaborates Manka's proof on the fixed-point property of arcwise connected hereditarily unicoherent continua
Offers a detailed treatment of Ward's theory of partially ordered topological spaces culminating in Sherrer theorem
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