**Best Reference Books on Fixed Point Theory**, which are used by students of top universities, and colleges. This will help you choose the right book depending on if you are a beginner or an expert. Here is the complete list of

**Fixed Point Theory Books**with their authors, publishers, and an unbiased review of them as well as links to the Amazon website to directly purchase them. If permissible, you can also download the free PDF books on Fixed Point Theory below.

## 1. Metric Spaces and Fixed Point Theory

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 | |

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2."Fixed Point Theory in Probabilistic Metric Spaces (Mathematics and Its Applications)" by O Hadzic and E Pap
“Fixed Point Theory in Probabilistic Metric Spaces (Mathematics and Its Applications (536)) 2001st Edition” Book Review: This book is for people who already know about metric fixed point theory and are interested in mathematical research. It explains fixed point hypothesis in probabilistic measurement spaces, which is a powerful area of mathematical exploration. The book has independent content and is easy to understand. It covers topics such as t-standards, probabilistic measurement spaces, Banach compression rule, and fixed point hypotheses. The book uses examples to explain probability metric theory and single/multi-valued probabilistic versions. This book is helpful for graduate students, researchers, and applied mathematicians working in nonlinear analysis and probabilistic metric spaces.
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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: This book is all about metric type spaces. It starts by explaining the basics of metric space topology and then goes on to talk about banach type contraction theorems. The book covers theory, techniques, and results related to metric type spaces. It is presented in an abstract framework that is easy to understand. If you are interested in learning about metric spaces, this book is a valuable resource.
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4."Metric Spaces: Including Fixed Point Theory and Set-Valued Maps" by Qamrul Hasan Ansari
“Metric Spaces: Including Fixed Point Theory and Set-valued Maps” Book Review: The book is suitable for undergraduate and postgraduate students studying metric spaces, fixed point theory, or nonlinear analysis. Additionally, researchers working in nonlinear analysis, optimization, and equilibrium problems may find it useful. The book begins with an introduction to metric theory, followed by a detailed discussion of metric fixed point theory, set-valued maps, Eklands variational principles, and the theory of equilibrium.
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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 focuses on fixed point theory and metric spaces. It is helpful for people who are studying or researching in these areas. The book explains the differences between fixed point theory and classical fixed point theorems. It also covers Caristi’s theorem and nonexpansive mappings. The book explores fixed point theory in different types of spaces, including distant spaces that are between semi-metric and metric spaces.
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6."Topological Fixed Point Principles for Boundary Value Problems (Topological Fixed Point Theory and Its Applications)" by J Andres and Lech Górniewicz
“Topological Fixed Point Principles for Boundary Value Problems (Topological Fixed Point Theory and Its Applications (1)” Book Review: This book is about Lipschitzian-type mappings in measurement and Banach spaces. The book starts by explaining some basic properties of metric and Banach spaces. The next two parts talk about convexity, perfection and mathematical coefficients of Banach spaces. It also includes results on finding fixed points and estimating them through iterative techniques. The last part of the book covers some issues that are related to the theory. The book focuses on topological fixed point theory, and it discusses both single and multivalued mappings in local convex spaces. It also gives applications for ordinary differential equations. This book is one of the first texts to deal with topological fixed point theory in non-metric spaces, and it includes both theory and application. Appendices are given at the end of the book for reference.
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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 is a useful resource for people interested in fixed point theory with a metric flavor. It explains Banach’s contraction mapping principle and non-expansive mapping methods. It covers all the facts related to metric fixed point theory, as well as many geometric properties of Banach spaces. The book aims to provide knowledge for those who want to apply the results to their own work or for those who want a deeper understanding of the theory.
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8."Fixed Point Theory in Modular Function Spaces" by Mohamed A Khamsi and Wojciech M Kozlowski
“Fixed Point Theory in Modular Function Spaces” Book Review: This book is mainly for math researchers, but it can also be helpful for graduate students studying functional analysis. The book covers the main ideas, methods, and results of fixed point theory in modular function spaces. The information is organized in a clear and systematic way for readers to understand the concepts easily. The book provides practical knowledge of the theory, and it includes a bibliography for further references.
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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 useful for those who are interested in mathematical analysis and fixed point theory. It covers a wide range of topics from the basics of the Banach contraction theorem to more advanced topics like Ekeland’s variational principle. The book aims to provide a deeper understanding of the concepts and its application. It can be used by researchers and anyone interested in the underlying spaces.
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10."Developments in Functional Equations and Related Topics (Springer Optimization and Its Applications)" by Janusz Brzdęk and Krzysztof Ciepliński
“Developments in Functional Equations and Related Topics (Springer Optimization and Its Applications (124)) 1st ed. 2017 Edition” Book Review: This book is for students at the graduate level studying mathematics, physics, or engineering. It covers the latest developments in Ulam stability for functional equations and inequalities, using new methods and techniques. The book includes many examples that are explained in detail. Key concepts include quasi means, nonstandard analysis, and Ulam stability.
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## 2. Fixed Point Theory and its Applications

1."Topological Fixed Point Theory of Multivalued Mappings (Topological Fixed Point Theory and Its Applications)" by Lech Górniewicz
“Topological fixed point theory of multivalued mappings” Book Review: This book is a detailed introduction to the topological fixed point theory of multivalued mappings, covering both traditional and modern methods. The book includes various advanced results described within a unified framework. The book covers topics such as set-valued mappings with both convex and nonconvex properties, conjecture and homological methods in fixed point theory, and different index theories for mappings with a topologically complicated structure of values. It also includes applications to many fields of mathematics, mathematical economics, and related subjects. The book focuses on the topological aspect of the theory, and emphasizes the Lefschetz and Nielsen fixed point theory for non-cyclic valued mappings with diverse minimization assumptions through graph estimate and the homological approach. This book is intended for researchers and graduate students working in fixed point theory, topology, nonlinear functional analysis, differential equations, and applications such as game theory and mathematical economics.
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2."Fixed Point Theory for Lipschitzian-type Mappings with Applications (Topological Fixed Point Theory and Its Applications)" by Ravi P Agarwal and Donal O'Regan
“Fixed Point theory of Lipschitzian-type mapping with application” Book Review: This book introduces Lipschitzian-type mappings in a systematic way for measurement and Banach spaces. The first section covers the basics of metric and Banach spaces. The next two parts provide a foundation in convexity, smoothness, and mathematical properties of Banach spaces, including duality and metric projection mappings. The book then covers topics such as the existence and estimation of fixed points using iterative methods, and strong convergence hypotheses. The final part explores related issues in different fields. It can be useful for researchers and graduate students interested in fixed point theory.
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3."Fixed Point Theory and Best Approximation: The KKM-map Principle (Mathematics and Its Applications)" by S P Singh and B Watson
“Fixed Point Theory and Best Approximation” Book Review: This book provides an introduction to recent developments in nonlinear functional analysis that has not been covered in previous books. The book covers several topics of current interest, such as fixed point theory, best estimate, the KKM-map principle, and results related to optimization theory, variational inequalities, and complementarity issues. The book also provides examples of practical applications, highlights the connections between results in different fields, and includes a bibliography for further study. This book is intended for graduate students, researchers, and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets, and related mathematical topics and game theory.
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4."Fixed Point Theory: An Introduction (Mathematics and Its Applications)" by V I Istratescu
“Fixed Point Theory: An introduction to mathematics and application” Book Review: This book talks about how different branches of mathematics and science are interconnected, even if they were previously thought to be separate. The level of complexity of mathematics used in various sciences has also changed over time. For example, measure theory is used in economics, logarithmic calculation in physics, and coding theory in topology. The book covers a wide range of topics and provides examples of how different branches of mathematics are used in various fields. It will be useful for anyone interested in exploring the connections between different areas of mathematics and science.
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