I am looking for book recommendations about Fixed-Point Theory. I found this post:
Book Recommendation for Iterated Functions?
recommending a book by Shashkin. However, I cannot find who Shashkin is, or his/her affiliation. I also found "Fixed Point Theory" by Granas and Dugundji; but I have not found reviews of that book.
What books about fixed-point theory can you recommend?
This question is a bit old at this point, but I'll add my suggestions in case you're still searching. These are my top two suggestions. Topics is relatively short and terse, but a very good text to get a foundation in FP theory. The Handbook is still relatively recent and contains an encyclopedic amount of information on the past and (nearly) present state of metric/Banach space FP theory. I'm happy to offer more suggestions if these don't suit you for whatever reason.
Topics in Metric Fixed Point Theory by Goebel and Kirk, URL: https://www.cambridge.org/core/books/topics-in-metric-fixed-point-theory/57722E4F15554BDFEFABAE390761F00E
Handbook of Metric Fixed Point Theory by many authors, Kirk and Sims editors, URL: https://link.springer.com/book/10.1007/978-94-017-1748-9