Advances In Metric Fixed Point Theory And Applications PDF Download
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| Author | : Yeol Je Cho |
| Publisher | : Springer Nature |
| Total Pages | : 503 |
| Release | : 2021-06-05 |
| Genre | : Mathematics |
| ISBN | : 9813366478 |
Download Advances in Metric Fixed Point Theory and Applications Book in PDF, ePub and Kindle
This book collects papers on major topics in fixed point theory and its applications. Each chapter is accompanied by basic notions, mathematical preliminaries and proofs of the main results. The book discusses common fixed point theory, convergence theorems, split variational inclusion problems and fixed point problems for asymptotically nonexpansive semigroups; fixed point property and almost fixed point property in digital spaces, nonexpansive semigroups over CAT(κ) spaces, measures of noncompactness, integral equations, the study of fixed points that are zeros of a given function, best proximity point theory, monotone mappings in modular function spaces, fuzzy contractive mappings, ordered hyperbolic metric spaces, generalized contractions in b-metric spaces, multi-tupled fixed points, functional equations in dynamic programming and Picard operators. This book addresses the mathematical community working with methods and tools of nonlinear analysis. It also serves as a reference, source for examples and new approaches associated with fixed point theory and its applications for a wide audience including graduate students and researchers.
| Author | : Praveen Agarwal |
| Publisher | : Springer |
| Total Pages | : 166 |
| Release | : 2018-10-13 |
| Genre | : Mathematics |
| ISBN | : 9811329133 |
Download Fixed Point Theory in Metric Spaces Book in PDF, ePub and Kindle
This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations. Each chapter is accompanied by basic definitions, mathematical preliminaries and proof of the main results. Divided into ten chapters, it discusses topics such as the Banach contraction principle and its converse; Ran-Reurings fixed point theorem with applications; the existence of fixed points for the class of α-ψ contractive mappings with applications to quadratic integral equations; recent results on fixed point theory for cyclic mappings with applications to the study of functional equations; the generalization of the Banach fixed point theorem on Branciari metric spaces; the existence of fixed points for a certain class of mappings satisfying an implicit contraction; fixed point results for a class of mappings satisfying a certain contraction involving extended simulation functions; the solvability of a coupled fixed point problem under a finite number of equality constraints; the concept of generalized metric spaces, for which the authors extend some well-known fixed point results; and a new fixed point theorem that helps in establishing a Kelisky–Rivlin type result for q-Bernstein polynomials and modified q-Bernstein polynomials. The book is a valuable resource for a wide audience, including graduate students and researchers.
| Author | : Umesh C. Gairola |
| Publisher | : |
| Total Pages | : 0 |
| Release | : 2017 |
| Genre | : Fixed point theory |
| ISBN | : 9781536120851 |
Download Recent Advances in Fixed Point Theory and Applications Book in PDF, ePub and Kindle
Fixed point theory is a growing and exciting branch of mathematics with a variety of wide applications in biological and mathematical sciences, proposing newer applications in discrete dynamics and super fractals. The present endeavour is to report the latest trend in metric fixed point theory, emphasising newer applications in numerical analysis, discrete dynamics and fractal graphics, besides traditional applications. The book is useful to a large class of readers interested in analysis, applicable mathematics and fractal graphics. The articles have been selected carefully so that the book is useful for sophomores up to senior researchers looking for new material and new ideas in the existence of fixed points, new applications and survey articles. A few chapters included herein are formal in nature and suggest new directions of research in this area, which are especially useful to beginners in the field. The book is divided into two parts: Part I contains surveys and existence and convergence results. In Part II (Applications), various applications of fixed point theory to initial value problems, local attractivity of certain functional integral equation solutions, fractals and super-fractals, and solving equations in numerical praxis have been discussed. The present book, which is dedicated to Professor Shyam Lal Singh, consists of articles contributed by outstanding workers all over the world. Of course, some of the articles were selected from the Symposium on Fixed Point Theory and Applications (dedicated to him) held during the 19th Annual Conference Of India (10-12 November 2016), organised by Pauri Garhwal of the Department of Mathematics, H N B Garhwal (Central) University.
| Author | : Kazimierz Goebel |
| Publisher | : Cambridge University Press |
| Total Pages | : 258 |
| Release | : 1990 |
| Genre | : Mathematics |
| ISBN | : 9780521382892 |
Download Topics in Metric Fixed Point Theory Book in PDF, ePub and Kindle
Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.
| Author | : Bipan Hazarika |
| Publisher | : Springer Nature |
| Total Pages | : 319 |
| Release | : |
| Genre | : |
| ISBN | : 9819992079 |
Download Advances in Functional Analysis and Fixed-Point Theory Book in PDF, ePub and Kindle
| Author | : Tomás Domínguez Benavides |
| Publisher | : Universidad de Sevilla |
| Total Pages | : 184 |
| Release | : 1996 |
| Genre | : Education |
| ISBN | : 9788447203505 |
Download Recent Advances on Metric Fixed Point Theory Book in PDF, ePub and Kindle
| Author | : Erdal Karapinar |
| Publisher | : Mdpi AG |
| Total Pages | : 220 |
| Release | : 2021-09-30 |
| Genre | : Mathematics |
| ISBN | : 9783036520711 |
Download Theory and Application of Fixed Point Book in PDF, ePub and Kindle
In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and FIE lead to a better understanding of several physical phenomena, which is why such differential equations have been highly appreciated and explored. We also note the importance of distinct abstract spaces, such as quasi-metric, b-metric, symmetric, partial metric, and dislocated metric. Sometimes, one of these spaces is more suitable for a particular application. Fixed point theory techniques in partial metric spaces have been used to solve classical problems of the semantic and domain theory of computer science. This book contains some very recent theoretical results related to some new types of contraction mappings defined in various types of spaces. There are also studies related to applications of the theoretical findings to mathematical models of specific problems, and their approximate computations. In this sense, this book will contribute to the area and provide directions for further developments in fixed point theory and its applications.
| Author | : Pradip Debnath |
| Publisher | : Springer Nature |
| Total Pages | : 356 |
| Release | : 2022-01-04 |
| Genre | : Mathematics |
| ISBN | : 9811648964 |
Download Metric Fixed Point Theory Book in PDF, ePub and Kindle
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.
| Author | : Yeol Je Cho |
| Publisher | : Nova Publishers |
| Total Pages | : 216 |
| Release | : 2007-08 |
| Genre | : Mathematics |
| ISBN | : 9781594548772 |
Download Fixed Point Theory and Applications Book in PDF, ePub and Kindle
This volume deals with new topics in the areas of fixed point theory, variational inequality and complementarity problem theory, non-linear ergodic theory, difference, differential and integral equations, control and optimisation theory, dynamic system theory, inequality theory, stochastic analysis and probability theory, and their applications.
| Author | : Andrew McLennan |
| Publisher | : Springer |
| Total Pages | : 432 |
| Release | : 2018-07-03 |
| Genre | : Business & Economics |
| ISBN | : 9811307105 |
Download Advanced Fixed Point Theory for Economics Book in PDF, ePub and Kindle
This book develops the central aspect of fixed point theory – the topological fixed point index – to maximal generality, emphasizing correspondences and other aspects of the theory that are of special interest to economics. Numerous topological consequences are presented, along with important implications for dynamical systems. The book assumes the reader has no mathematical knowledge beyond that which is familiar to all theoretical economists. In addition to making the material available to a broad audience, avoiding algebraic topology results in more geometric and intuitive proofs. Graduate students and researchers in economics, and related fields in mathematics and computer science, will benefit from this book, both as a useful reference and as a well-written rigorous exposition of foundational mathematics. Numerous problems sketch key results from a wide variety of topics in theoretical economics, making the book an outstanding text for advanced graduate courses in economics and related disciplines.
