Kindly note that we have put a lot of effort into researching the best books on Metric Spaces and Fixed Point Theory subject and came out with a recommended list of top 10 best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on "Metric Spaces and Fixed Point Theory" as well as links to the Amazon website to directly purchase these books. As an Amazon Associate, we earn from qualifying purchases, but this does not impact our reviews, comparisons, and listing of these top books; the table serves as a ready reckoner list of these best books.
1. “An Introduction to Metric Spaces and Fixed Point Theory (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)” by Mohamed A Khamsi and William A Kirk
“An Introduction to Metric Spaces and Fixed Point Theory: 53 (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)” Book Review: The textbook is updated with most recent developments in relation to banach space results. The book contains introductory details of topics along with extensive exercises. It also contains a bibliography for additional reference.


2. “Fixed Point Theory in Probabilistic Metric Spaces (Mathematics and Its Applications)” by O Hadzic and E Pap
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“Fixed Point Theory in Probabilistic Metric Spaces (Mathematics and Its Applications (536)) 2001st Edition” Book Review: This book is designed for graduate students, researchers, and applied mathematicians working in nonlinear analysis and probabilistic metric spaces. The book aims to bring the interest of both students and scientists in the field of mathematical research. The book assumes a good deal of previous knowledge in the metric fixed point theory. T norms along with its properties and special cases have been illustrated. Probability metric theory along with single and multivalued probabilistic versions have been defined and explained through examples.


3. “Fixed Point Theory in Metric Type Spaces” by Ravi P Agarwal and Erdal KARAPINAR
“Fixed Point Theory in Metric Type Spaces 1st ed. 2015 Edition” Book Review: The book provides a complete coverage of theory, techniques and results in metric type spaces. The book begins with basics of metric space topology. The book moves from the basics and history of metric spaces to banach type contraction theorems.the results and techniques are presented in a general but abstract framework.


4. “Metric Spaces: Including Fixed Point Theory and SetValued Maps” by Qamrul Hasan Ansari
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“Metric Spaces: Including Fixed Point Theory and Setvalued Maps” Book Review: This book is designed for the undergraduate students doing metric spaces and postgraduate students doing fixed point theory or nonlinear analysis. It can also be used by researchers working in nonlinear analysis, optimization and theory of equilibrium problems. The first few chapters covers the basics of metric theory. The following chapters focus mainly on the metric fixed point theory. The book contains setvalued maps. Eklands variational principles have also been explained. The theory of equilibrium has also been briefed.


5. “Fixed Point Theory in Distance Spaces” by William Kirk and Naseer Shahzad
“Fixed Point Theory in Distance Spaces 2014th Edition, Kindle Edition” Book Review: This book covers the purely metric aspects of the fixed point theory. The theory is contrasted against the four classical fixed point theorems. Caristi’s theorem, nonexpansive mappings have been briefed. The book also explores fixed point theory in classes of space. It also focuses on distant spaces which lie between semimetric and metric spaces.


6. “Topological Fixed Point Principles for Boundary Value Problems (Topological Fixed Point Theory and Its Applications)” by J Andres and Lech Górniewicz
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“Topological Fixed Point Principles for Boundary Value Problems (Topological Fixed Point Theory and Its Applications (1)” Book Review: This book focuses on topological fixed point theory. Both single and multivalued, mappings in local convex spaces have been explored. Application for ordinary differential equations have also been identified. It’s one of the first texts dealing with the topological fixed point theory in nonmetric spaces. Theory and application is both given. Appendices have also been given at the end.


7. “Handbook of Metric Fixed Point Theory” by B Sims and W A Kirk
“Handbook of Metric Fixed Point Theory 2001st Edition” Book Review: This book can work as a primary resource for anyone interested in fixed point theory with a metric flavor. The book elaborates on the outgrowth of Banach’s contraction mapping principle. Non expansive mapping methods have been explained. All facts related to metric fixed point theory are also mentioned. Many geometric properties of banach spaces. The book aims to provide knowledge for all those who find results that might apply to their own work. It could also be of help to those wishing to obtain a deeper understanding of the theory.


8. “Fixed Point Theory in Modular Function Spaces” by Mohamed A Khamsi and Wojciech M Kozlowski
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“Fixed Point Theory in Modular Function Spaces” Book Review: The book mainly focuses on the mathematical research community. It can also be used by graduate students doing functional analysis. This book provides main results and methods of the fixed point theory in modular function spaces. The information is arranged and presented in a systematic manner to let the readers understand the concepts with better clarity. It provides a working knowledge of the theory. Bibliography is also added for references.


9. “Topics in Fixed Point Theory” by Saleh Almezel and Mohamed Amine Khamsi
“Topics in Fixed Point Theory 2014th Edition” Book Review: This book is designed for a wide range of research in mathematical analysis. It can also be used by those interested in the fixed point theory and the underlying spaces. The book provides a deeper understanding of the concepts and its application. The main topics range from Banach contraction theorem to Ekeland’s variational principle.


10. “Developments in Functional Equations and Related Topics (Springer Optimization and Its Applications)” by Janusz Brzdęk and Krzysztof Ciepliński
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“Developments in Functional Equations and Related Topics (Springer Optimization and Its Applications (124)) 1st ed. 2017 Edition” Book Review: This book is designed for graduate level for students in mathematics, physics, and engineering. The book provides complete coverage on the recent developments in Ulam stability for functional equations and inequalities. New methods and techniques have been emphasised. The examples are also explained in great detail. The key concepts range from quasi means to nonstandard analysis and ulam stability.


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