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Elementary Fixed Point Theorems

P.V. Subrahmanyam

978-981-13-3158-9

2018
Edition 1
- Discusses topics on basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski, their variants and 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
€419

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