Fixed And Periodic Points Under Contraction Mappings In Metric Spaces

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Algebraic Structures and Applications

Author : Sergei Silvestrov
Publisher : Springer Nature
ISBN 13 : 3030418502
Total Pages : 976 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis Algebraic Structures and Applications by : Sergei Silvestrov

Download or read book Algebraic Structures and Applications written by Sergei Silvestrov and published by Springer Nature. This book was released on 2020-06-18 with total page 976 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the latest advances in algebraic structures and applications, and focuses on mathematical concepts, methods, structures, problems, algorithms and computational methods important in the natural sciences, engineering and modern technologies. In particular, it features mathematical methods and models of non-commutative and non-associative algebras, hom-algebra structures, generalizations of differential calculus, quantum deformations of algebras, Lie algebras and their generalizations, semi-groups and groups, constructive algebra, matrix analysis and its interplay with topology, knot theory, dynamical systems, functional analysis, stochastic processes, perturbation analysis of Markov chains, and applications in network analysis, financial mathematics and engineering mathematics. The book addresses both theory and applications, which are illustrated with a wealth of ideas, proofs and examples to help readers understand the material and develop new mathematical methods and concepts of their own. The high-quality chapters share a wealth of new methods and results, review cutting-edge research and discuss open problems and directions for future research. Taken together, they offer a source of inspiration for a broad range of researchers and research students whose work involves algebraic structures and their applications, probability theory and mathematical statistics, applied mathematics, engineering mathematics and related areas.

Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces

Author : S Sowndrarajan
Publisher : Infinite Study
ISBN 13 :
Total Pages : 11 pages
Book Rating : 4./5 ( download)

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Book Synopsis Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces by : S Sowndrarajan

Download or read book Fixed Point Results for Contraction Theorems in Neutrosophic Metric Spaces written by S Sowndrarajan and published by Infinite Study. This book was released on 2020-10-01 with total page 11 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this article, we present fixed and common fixed point results for Banach and Edelstein contraction theorems in neutrosophic metric spaces. Then some properties and examples are given for neutrosophic metric spaces. Thus, we added a new path in neutrosophic theory to obtain fixed point results. We investigate and prove some contraction theorems that are extended to neutrosophic metric space with the assistance of Grabiec.

Fixed Point Theory and Best Approximation: The KKM-map Principle

Author : S.P. Singh
Publisher : Springer Science & Business Media
ISBN 13 : 9401588228
Total Pages : 231 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Fixed Point Theory and Best Approximation: The KKM-map Principle by : S.P. Singh

Download or read book Fixed Point Theory and Best Approximation: The KKM-map Principle written by S.P. Singh and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this volume is to make available to a large audience recent material in nonlinear functional analysis that has not been covered in book format before. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies. Audience: This book will be of interest to graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations and expansions, convex sets and related geometric topics and game theory.

Mathematical Analysis and Applications

Author : Michael Ruzhansky
Publisher : John Wiley & Sons
ISBN 13 : 111941430X
Total Pages : 767 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Mathematical Analysis and Applications by : Michael Ruzhansky

Download or read book Mathematical Analysis and Applications written by Michael Ruzhansky and published by John Wiley & Sons. This book was released on 2018-04-05 with total page 767 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

Handbook of Metric Fixed Point Theory

Author : W.A. Kirk
Publisher : Springer Science & Business Media
ISBN 13 : 9401717486
Total Pages : 702 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Handbook of Metric Fixed Point Theory by : W.A. Kirk

Download or read book Handbook of Metric Fixed Point Theory written by W.A. Kirk and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt: Metric fixed point theory encompasses the branch of fixed point theory which metric conditions on the underlying space and/or on the mappings play a fundamental role. In some sense the theory is a far-reaching outgrowth of Banach's contraction mapping principle. A natural extension of the study of contractions is the limiting case when the Lipschitz constant is allowed to equal one. Such mappings are called nonexpansive. Nonexpansive mappings arise in a variety of natural ways, for example in the study of holomorphic mappings and hyperconvex metric spaces. Because most of the spaces studied in analysis share many algebraic and topological properties as well as metric properties, there is no clear line separating metric fixed point theory from the topological or set-theoretic branch of the theory. Also, because of its metric underpinnings, metric fixed point theory has provided the motivation for the study of many geometric properties of Banach spaces. The contents of this Handbook reflect all of these facts. The purpose of the Handbook is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The goal is to provide information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers.

Topics in Fixed Point Theory

Author : Saleh Almezel
Publisher : Springer Science & Business Media
ISBN 13 : 3319015869
Total Pages : 316 pages
Book Rating : 4.3/5 (19 download)

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Book Synopsis Topics in Fixed Point Theory by : Saleh Almezel

Download or read book Topics in Fixed Point Theory written by Saleh Almezel and published by Springer Science & Business Media. This book was released on 2013-10-23 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established researchers. Key topics covered include Banach contraction theorem, hyperconvex metric spaces, modular function spaces, fixed point theory in ordered sets, topological fixed point theory for set-valued maps, coincidence theorems, Lefschetz and Nielsen theories, systems of nonlinear inequalities, iterative methods for fixed point problems, and the Ekeland’s variational principle.

Background and Recent Developments of Metric Fixed Point Theory

Author : Dhananjay Gopal
Publisher : CRC Press
ISBN 13 : 1351243357
Total Pages : 238 pages
Book Rating : 4.3/5 (512 download)

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Book Synopsis Background and Recent Developments of Metric Fixed Point Theory by : Dhananjay Gopal

Download or read book Background and Recent Developments of Metric Fixed Point Theory written by Dhananjay Gopal and published by CRC Press. This book was released on 2017-11-28 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focusing on Metric fixed point theory is designed to provide an extensive understanding of the topic with the latest updates. It provides a good source of references, open questions and new approaches. While the book is principally addressed to graduate students, it is also intended to be useful to mathematicians, both pure and applied.

Operators, Inequalities and Approximation

Author : Binod Chandra Tripathy
Publisher : Springer Nature
ISBN 13 : 9819732387
Total Pages : 209 pages
Book Rating : 4.8/5 (197 download)

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Book Synopsis Operators, Inequalities and Approximation by : Binod Chandra Tripathy

Download or read book Operators, Inequalities and Approximation written by Binod Chandra Tripathy and published by Springer Nature. This book was released on with total page 209 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Recent Developments in Fixed-Point Theory

Author : Mudasir Younis
Publisher : Springer Nature
ISBN 13 : 9819995469
Total Pages : 392 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Recent Developments in Fixed-Point Theory by : Mudasir Younis

Download or read book Recent Developments in Fixed-Point Theory written by Mudasir Younis and published by Springer Nature. This book was released on with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lights and Shadows on Generalizations in Fixed Point Theory

Author : Shahram Rezapour
Publisher : CRC Press
ISBN 13 : 1040271693
Total Pages : 333 pages
Book Rating : 4.0/5 (42 download)

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Book Synopsis Lights and Shadows on Generalizations in Fixed Point Theory by : Shahram Rezapour

Download or read book Lights and Shadows on Generalizations in Fixed Point Theory written by Shahram Rezapour and published by CRC Press. This book was released on 2024-11-14 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed point theory is a powerful tool in nonlinear analysis, with applications in fractional differential equations and other areas. The most prominent application/conclusion of this theory is the Banach contraction principal. The notion of invisible graphs, introduced here for the first time, will find applications in different areas of science. The book examines the classical techniques of this theory with a critical approach, along with the emergence of various generalizations in its evolution. Using the latest theories of the philosophy of science, the author aims to provide a philosophical explanation for the gaps in the fixed point theory and introduce the reader to profound mathematical-philosophical challenges.

Topology - Recent Advances and Applications

Author : Paul Bracken
Publisher : BoD – Books on Demand
ISBN 13 : 1837695598
Total Pages : 218 pages
Book Rating : 4.8/5 (376 download)

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Book Synopsis Topology - Recent Advances and Applications by : Paul Bracken

Download or read book Topology - Recent Advances and Applications written by Paul Bracken and published by BoD – Books on Demand. This book was released on 2023-08-02 with total page 218 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology remains an active and fundamental area of research that plays a foundational role in many branches of mathematics and science, such as analysis, differential geometry, physics and even biology. It is hoped the papers in this book will contribute to stimulating research in this basic area of mathematics.

Metric Fixed Point Theory

Author : Pradip Debnath
Publisher : Springer Nature
ISBN 13 : 9811648964
Total Pages : 356 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Metric Fixed Point Theory by : Pradip Debnath

Download or read book Metric Fixed Point Theory written by Pradip Debnath and published by Springer Nature. This book was released on 2022-01-04 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book collects chapters on contemporary topics on metric fixed point theory and its applications in science, engineering, fractals, and behavioral sciences. Chapters contributed by renowned researchers from across the world, this book includes several useful tools and techniques for the development of skills and expertise in the area. The book presents the study of common fixed points in a generalized metric space and fixed point results with applications in various modular metric spaces. New insight into parametric metric spaces as well as study of variational inequalities and variational control problems have been included.

Advances in Functional Analysis and Fixed-Point Theory

Author : Bipan Hazarika
Publisher : Springer Nature
ISBN 13 : 9819992079
Total Pages : 319 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Advances in Functional Analysis and Fixed-Point Theory by : Bipan Hazarika

Download or read book Advances in Functional Analysis and Fixed-Point Theory written by Bipan Hazarika and published by Springer Nature. This book was released on with total page 319 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Advances in Real and Complex Analysis with Applications

Author : Michael Ruzhansky
Publisher : Birkhäuser
ISBN 13 : 981104337X
Total Pages : 304 pages
Book Rating : 4.8/5 (11 download)

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Book Synopsis Advances in Real and Complex Analysis with Applications by : Michael Ruzhansky

Download or read book Advances in Real and Complex Analysis with Applications written by Michael Ruzhansky and published by Birkhäuser. This book was released on 2017-10-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples. The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmüller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics. It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis.

Beyond Traditional Probabilistic Methods in Economics

Author : Vladik Kreinovich
Publisher : Springer
ISBN 13 : 3030042006
Total Pages : 1167 pages
Book Rating : 4.0/5 (3 download)

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Book Synopsis Beyond Traditional Probabilistic Methods in Economics by : Vladik Kreinovich

Download or read book Beyond Traditional Probabilistic Methods in Economics written by Vladik Kreinovich and published by Springer. This book was released on 2018-11-24 with total page 1167 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents recent research on probabilistic methods in economics, from machine learning to statistical analysis. Economics is a very important – and at the same a very difficult discipline. It is not easy to predict how an economy will evolve or to identify the measures needed to make an economy prosper. One of the main reasons for this is the high level of uncertainty: different difficult-to-predict events can influence the future economic behavior. To make good predictions and reasonable recommendations, this uncertainty has to be taken into account. In the past, most related research results were based on using traditional techniques from probability and statistics, such as p-value-based hypothesis testing. These techniques led to numerous successful applications, but in the last decades, several examples have emerged showing that these techniques often lead to unreliable and inaccurate predictions. It is therefore necessary to come up with new techniques for processing the corresponding uncertainty that go beyond the traditional probabilistic techniques. This book focuses on such techniques, their economic applications and the remaining challenges, presenting both related theoretical developments and their practical applications.

Fuzzy Operator Theory in Mathematical Analysis

Author : Yeol Je Cho
Publisher : Springer
ISBN 13 : 3319935011
Total Pages : 411 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Fuzzy Operator Theory in Mathematical Analysis by : Yeol Je Cho

Download or read book Fuzzy Operator Theory in Mathematical Analysis written by Yeol Je Cho and published by Springer. This book was released on 2018-08-12 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph presents an overview of fuzzy operator theory in mathematical analysis. Concepts, principles, methods, techniques, and applications of fuzzy operator theory are unified in this book to provide an introduction to graduate students and researchers in mathematics, applied sciences, physics, engineering, optimization, and operations research. New approaches to fuzzy operator theory and fixed point theory with applications to fuzzy metric spaces, fuzzy normed spaces, partially ordered fuzzy metric spaces, fuzzy normed algebras, and non-Archimedean fuzzy metric spaces are presented. Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.

Fixed Point Results in W-Distance Spaces

Author : Vladimir Rakočević
Publisher : CRC Press
ISBN 13 : 1000489477
Total Pages : 152 pages
Book Rating : 4.0/5 (4 download)

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Book Synopsis Fixed Point Results in W-Distance Spaces by : Vladimir Rakočević

Download or read book Fixed Point Results in W-Distance Spaces written by Vladimir Rakočević and published by CRC Press. This book was released on 2021-12-30 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars. Features Written in a concise and fluent style, covers a broad range of topics and includes related topics from research. Suitable for researchers and postgraduates. Contains brand new results not published elsewhere.