This is a reasonable question.

To get things started, here is a review of the book by Tsai-Han Kiang for those who are not familiar with the book:

http://www.ams.org/journals/bull/1990-23-02/S0273-0979-1990-16010-0/S0273-0979-1990-16010-0.pdf

Here is a snippet view of the book:

https://books.google.ca/books/about/The_Theory_of_Fixed_Point_Classes.html?id=RNsKoAEACAAJ&redir_esc=y

The book itself is available from Springer:

https://www.springer.com/gp/book/9783642681356

And here's the citation record from Google Scholar

https://scholar.google.com/scholar?cites=6947059464339218536

James F. Peters, Artur Sergyeyev Thank you very much Professors for your king suggestions. However, I am looking for where I can get a free e-copy of the book.

Great ! RG is a great friend !