Elementary Fixed Point Theorems

By P.V. Subrahmanyam

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

• Format: Hardcover
• Language: English
• ISBN: 981133157X
• ISBN13: 9789811331572
• Release Date: January 2019
• Publisher: Springer
• Length: 302 Pages
• Weight: 1.37 lbs.
• Dimensions: 0.8" x 6.1" x 9.2"