How Long to Read Topology and Approximate Fixed Points

How Long Does it Take to Read Topology and Approximate Fixed Points?

It takes the average reader 4 hours and 26 minutes to read Topology and Approximate Fixed Points by Afif Ben Amar

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

Description

This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps. It offers a comprehensive treatment of the subject that is up-to-date, self-contained, and rich in methods, for a wide variety of topologies and maps. Content includes known and recent results in topology (with proofs), as well as recent results in approximate fixed point theory. This work starts with a set of basic notions in topological spaces. Special attention is given to topological vector spaces, locally convex spaces, Banach spaces, and ultrametric spaces. Sequences and function spaces—and fundamental properties of their topologies—are also covered. The reader will find discussions on fundamental principles, namely the Hahn-Banach theorem on extensions of linear (bounded) functionals; the Banach open mapping theorem; the Banach-Steinhaus uniform boundedness principle; and Baire categories, including some applications. Also included are weak topologies and their properties, in particular the theorems of Eberlein-Smulian, Goldstine, Kakutani, James and Grothendieck, reflexive Banach spaces, l_{1}- sequences, Rosenthal's theorem, sequential properties of the weak topology in a Banach space and weak* topology of its dual, and the Fréchet-Urysohn property. The subsequent chapters cover various almost fixed point results, discussing how to reach or approximate the unique fixed point of a strictly contractive mapping of a spherically complete ultrametric space. They also introduce synthetic approaches to fixed point problems involving regular-global-inf functions. The book finishes with a study of problems involving approximate fixed point property on an ambient space with different topologies. By providing appropriate background and up-to-date research results, this book can greatly benefit graduate students and mathematicians seeking to advance in topology and fixed point theory.

How long is Topology and Approximate Fixed Points?

Topology and Approximate Fixed Points by Afif Ben Amar is 258 pages long, and a total of 66,564 words.

This makes it 87% the length of the average book. It also has 81% more words than the average book.

How Long Does it Take to Read Topology and Approximate Fixed Points Aloud?

The average oral reading speed is 183 words per minute. This means it takes 6 hours and 3 minutes to read Topology and Approximate Fixed Points aloud.

What Reading Level is Topology and Approximate Fixed Points?

Topology and Approximate Fixed Points 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 Topology and Approximate Fixed Points?

Topology and Approximate Fixed Points by Afif Ben Amar 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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