We have compiled the list of Best Reference Books on Fixed Point Theory subject. These books are used by students of top universities, institutes and colleges. Here is the full list of best books on Fixed Point Theory along with reviews.
Kindly note that we have put a lot of effort into researching the best books on Fixed Point Theory subject and came out with a recommended list of best books. The table below contains the Name of these best books, their authors, publishers and an unbiased review of books on “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.
List of Fixed Point Theory Books with author’s names, publishers, and an unbiased review as well as links to the Amazon website to directly purchase these books.
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
“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
“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. Fixed point hypothesis in probabilistic measurement spaces can be considered as a piece of Probabilistic Analysis, which is a powerful territory of numerical exploration. An essential point of this monograph is to invigorate revenue among researchers and understudies in this interesting field. The content is independent for a peruser with an unassuming information on the measurement fixed point theory.In Chapter 1 some fundamental properties of t-standards are introduced and a few uncommon classes of t-standards are researched. chapter 2 is an outline of some fundamental definitions and models from the hypothesis of probabilistic measurement spaces.chapter 3, 4, and 5 arrangement for certain single-esteemed and multi-esteemed probabilistic adaptations of the Banach compression rule. In Chapter 6, some essential outcomes in locally raised topological vector spaces are utilized and applied to fixed point hypotheses in vector spaces. 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 Set-Valued Maps” by Qamrul Hasan Ansari
“Metric Spaces: Including Fixed Point Theory and Set-valued 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 set-valued 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 semi-metric 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
“Topological Fixed Point Principles for Boundary Value Problems (Topological Fixed Point Theory and Its Applications (1)” Book Review: This independent book gives the primary methodical introduction of Lipschitzian-type mappings in measurement and Banach spaces. The principal section covers some fundamental properties of metric and Banach spaces. Mathematical contemplations of basic spaces assume a noticeable part in creating and understanding the hypothesis. The following two parts give foundation regarding convexity, perfection and mathematical coefficients of Banach spaces including duality mappings and metric projection mappings. This is trailed by results on presence of fixed focuses, estimate of fixed focuses by iterative techniques and solid combination hypotheses. The last part investigates a few relevant issues emerging in related fields. 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 non-metric 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
“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
“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.
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 volume presents an expansive prologue to the topological fixed point hypothesis of multivalued (set-esteemed) mappings, regarding both traditional ideas just as current methods. An assortment of cutting-edge results is depicted inside a bound together system. Themes covered incorporate the fundamental hypothesis of set-esteemed mappings with both curved and nonconvex qualities, guess and homological strategies in the fixed point hypothesis along with a careful conversation of different record speculations for mappings with a topologically unpredictable construction of qualities, applications to numerous fields of math, numerical financial matters and related subjects, and the fixed guide approach toward the hypothesis of conventional differential considerations. The work underscores the topological part of the hypothesis, and concentrates on the Lefschetz and Nielsen fixed point hypothesis for non-cyclic esteemed mappings with assorted minimization presumptions through chart estimate and the homological methodology. Crowd: This work will bear some significance with analysts and graduate understudies working nearby fixed point hypothesis, geography, nonlinear useful investigation, differential considerations, and applications, for example, game hypothesis and numerical financial matters.
|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 independent book gives the primary methodical introduction of Lipschitzian-type mappings in measurement and Banach spaces. The principal section covers some fundamental properties of metric and Banach spaces. Mathematical contemplations of basic spaces assume a noticeable part in creating and understanding the hypothesis. The following two parts give foundation regarding convexity, perfection and mathematical coefficients of Banach spaces including duality mappings and metric projection mappings. This is trailed by results on presence of fixed focuses, estimate of fixed focuses by iterative techniques and solid combination hypotheses. The last part investigates a few relevant issues emerging in related fields.
|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: The point of this volume is to make accessible to an enormous crowd late material in nonlinear utilitarian examination that has not been canvassed in book design previously. Here, a few subjects of current and developing interest are deliberately introduced, for example, fixed point hypothesis, best estimate, the KKM-map rule, and results identified with enhancement hypothesis, variational imbalances and complementarity issues. Representations of appropriate applications are given, the connections between brings about different fields of exploration are featured, and a cutting-edge catalog is incorporated to help perusers in additional examinations. This book will hold any importance with graduate understudies, analysts and applied mathematicians working in nonlinear useful investigation, administrator hypothesis, approximations and developments, arched sets and related mathematical points and game hypothesis.
|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: Developing specialization and expansion have brought a large group of mono charts and course readings on progressively particular points. In any case, the ‘tree’ of information on science and related fields doesn’t become exclusively by advancing new branches. It likewise occurs, regularly truth be told, that branches which were believed to be totally divergent are unexpectedly seen to be connected. Further, the sort and level of complexity of arithmetic applied in different sciences has changed definitely as of late: measure hypothesis is utilized (non-inconsequentially) in provincial and hypothetical financial matters; logarithmic calculation cooperates with physical science; the Minkowsky lemma, coding hypothesis and the construction of water meet each other in pressing and covering hypothesis; quantum fields, precious stone imperfections and numerical programming benefit from homotopy hypothesis; Lie algebras are applicable to sifting; and expectation and electrical designing can utilize Stein spaces.
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