How Long to Read Elementary Fixed Point Theorems

How Long Does it Take to Read Elementary Fixed Point Theorems?

It takes the average reader 5 hours and 4 minutes to read Elementary Fixed Point Theorems by P.V. Subrahmanyam

Assuming a reading speed of 250 words per minute. Learn more

Description

This book provides a primary resource in basic fixed-point theorems due to Banach, Brouwer, Schauder and Tarski and their applications. Key topics covered include Sharkovsky’s theorem on periodic points, Thron’s results on the convergence of certain real iterates, Shield’s common fixed theorem for a commuting family of analytic functions and Bergweiler’s existence theorem on fixed points of the composition of certain meromorphic functions with transcendental entire functions. Generalizations of Tarski’s theorem by Merrifield and Stein and Abian’s proof of the equivalence of Bourbaki–Zermelo fixed-point theorem and the Axiom of Choice are described in the setting of posets. A detailed treatment of Ward’s theory of partially ordered topological spaces culminates in Sherrer fixed-point theorem. It elaborates Manka’s proof of the fixed-point property of arcwise connected hereditarily unicoherent continua, based on the connection he observed between set theory and fixed-point theory via a certain partial order. Contraction principle is provided with two proofs: one due to Palais and the other due to Barranga. Applications of the contraction principle include the proofs of algebraic Weierstrass preparation theorem, a Cauchy–Kowalevsky theorem for partial differential equations and the central limit theorem. It also provides a proof of the converse of the contraction principle due to Jachymski, a proof of fixed point theorem for continuous generalized contractions, a proof of Browder–Gohde–Kirk fixed point theorem, a proof of Stalling's generalization of Brouwer's theorem, examine Caristi's fixed point theorem, and highlights Kakutani's theorems on common fixed points and their applications.

How long is Elementary Fixed Point Theorems?

Elementary Fixed Point Theorems by P.V. Subrahmanyam is 302 pages long, and a total of 76,104 words.

This makes it 102% the length of the average book. It also has 93% more words than the average book.

How Long Does it Take to Read Elementary Fixed Point Theorems Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 55 minutes to read Elementary Fixed Point Theorems aloud.

What Reading Level is Elementary Fixed Point Theorems?

Elementary Fixed Point Theorems is suitable for students ages 12 and up.

Note that there may be other factors that effect this rating besides length that are not factored in on this page. This may include things like complex language or sensitive topics not suitable for students of certain ages.

When deciding what to show young students always use your best judgement and consult a professional.

Where Can I Buy Elementary Fixed Point Theorems?

Elementary Fixed Point Theorems by P.V. Subrahmanyam is sold by several retailers and bookshops. However, Read Time works with Amazon to provide an easier way to purchase books.

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