Author: Clement Ampadu
Publisher: Lulu.com
ISBN: 136556360X
Category :
Languages : en
Pages : 46
Book Description
Higher-Order Fixed Point Theory in Partial Metric Spaces: Some Results Generalizing the Hardy-Rogers Map
Author: Clement Ampadu
Publisher: Lulu.com
ISBN: 136556360X
Category :
Languages : en
Pages : 46
Book Description
Publisher: Lulu.com
ISBN: 136556360X
Category :
Languages : en
Pages : 46
Book Description
Characterization Theorems Inspired by the Hardy-Rogers Map II: Some Results in Cone Metric Spaces
Author: Clement Ampadu
Publisher: Lulu.com
ISBN: 1365109917
Category :
Languages : en
Pages : 42
Book Description
Publisher: Lulu.com
ISBN: 1365109917
Category :
Languages : en
Pages : 42
Book Description
Characterization Theorems Inspired by the Hardy-Rogers Map I: Some Results in Metric Spaces
Author: Clement Ampadu_
Publisher: Lulu.com
ISBN: 1365101185
Category :
Languages : en
Pages : 43
Book Description
Publisher: Lulu.com
ISBN: 1365101185
Category :
Languages : en
Pages : 43
Book Description
Higher-Order Fixed Point Theory in Metric and Multiplicative Metric Space Under r-Compatibility of Mappings and Related Concepts
Author: Clement Ampadu
Publisher: Lulu.com
ISBN: 1387503006
Category :
Languages : en
Pages : 48
Book Description
Publisher: Lulu.com
ISBN: 1387503006
Category :
Languages : en
Pages : 48
Book Description
Fixed Point Theory in Metric Type Spaces
Author: Ravi P. Agarwal
Publisher: Springer
ISBN: 331924082X
Category : Mathematics
Languages : en
Pages : 385
Book Description
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.
Publisher: Springer
ISBN: 331924082X
Category : Mathematics
Languages : en
Pages : 385
Book Description
Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology. The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework. Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.
Fixed Point Theory in Generalized Metric Spaces
Author: Erdal Karapinar
Publisher: Springer Nature
ISBN: 3031149696
Category : Mathematics
Languages : en
Pages : 141
Book Description
This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.
Publisher: Springer Nature
ISBN: 3031149696
Category : Mathematics
Languages : en
Pages : 141
Book Description
This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.
Fixed Point Theory in Distance Spaces
Author: William Kirk
Publisher: Springer
ISBN: 3319109278
Category : Mathematics
Languages : en
Pages : 173
Book Description
This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler’s well known set-valued extension of that theorem, the extension of Banach’s theorem to nonexpansive mappings, and Caristi’s theorem. These comparisons form a significant component of this book. This book is divided into three parts. Part I contains some aspects of the purely metric theory, especially Caristi’s theorem and a few of its many extensions. There is also a discussion of nonexpansive mappings, viewed in the context of logical foundations. Part I also contains certain results in hyperconvex metric spaces and ultrametric spaces. Part II treats fixed point theory in classes of spaces which, in addition to having a metric structure, also have geometric structure. These specifically include the geodesic spaces, length spaces and CAT(0) spaces. Part III focuses on distance spaces that are not necessarily metric. These include certain distance spaces which lie strictly between the class of semimetric spaces and the class of metric spaces, in that they satisfy relaxed versions of the triangle inequality, as well as other spaces whose distance properties do not fully satisfy the metric axioms.
Publisher: Springer
ISBN: 3319109278
Category : Mathematics
Languages : en
Pages : 173
Book Description
This is a monograph on fixed point theory, covering the purely metric aspects of the theory–particularly results that do not depend on any algebraic structure of the underlying space. Traditionally, a large body of metric fixed point theory has been couched in a functional analytic framework. This aspect of the theory has been written about extensively. There are four classical fixed point theorems against which metric extensions are usually checked. These are, respectively, the Banach contraction mapping principal, Nadler’s well known set-valued extension of that theorem, the extension of Banach’s theorem to nonexpansive mappings, and Caristi’s theorem. These comparisons form a significant component of this book. This book is divided into three parts. Part I contains some aspects of the purely metric theory, especially Caristi’s theorem and a few of its many extensions. There is also a discussion of nonexpansive mappings, viewed in the context of logical foundations. Part I also contains certain results in hyperconvex metric spaces and ultrametric spaces. Part II treats fixed point theory in classes of spaces which, in addition to having a metric structure, also have geometric structure. These specifically include the geodesic spaces, length spaces and CAT(0) spaces. Part III focuses on distance spaces that are not necessarily metric. These include certain distance spaces which lie strictly between the class of semimetric spaces and the class of metric spaces, in that they satisfy relaxed versions of the triangle inequality, as well as other spaces whose distance properties do not fully satisfy the metric axioms.
Mathematical Reviews
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 964
Book Description
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 964
Book Description
Fixed Point Theory in Metric Spaces
Author: Praveen Agarwal
Publisher:
ISBN: 9789811329142
Category : Fixed point theory
Languages : en
Pages :
Book Description
Publisher:
ISBN: 9789811329142
Category : Fixed point theory
Languages : en
Pages :
Book Description
Advances in Metric Fixed Point Theory and Applications
Author: Yeol Je Cho
Publisher: Springer Nature
ISBN: 9813366478
Category : Mathematics
Languages : en
Pages : 503
Book Description
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.
Publisher: Springer Nature
ISBN: 9813366478
Category : Mathematics
Languages : en
Pages : 503
Book Description
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.