Download Full eBooks in PDF
Higher Order Fixed Point Theory In Metric And Multiplicative Metric Space Under R Compatibility Of Mappings And Related Concepts Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Higher Order Fixed Point Theory In Metric And Multiplicative Metric Space Under R Compatibility Of Mappings And Related Concepts book. This book definitely worth reading, it is an incredibly well-written.
Author : Clement Ampadu
Publisher : Lulu.com
Page : 48 pages
File Size : 41,8 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781387503001
Author : Clement Ampadu
Publisher : Lulu.com
Page : 56 pages
File Size : 45,9 Mb
Release : 2024-06-30
Category : Electronic
ISBN : 9781387606276
Author : Ravi P. Agarwal,Erdal KARAPINAR,Donal O’Regan,Antonio Francisco Roldán-López-de-Hierro
Publisher : Springer
Page : 385 pages
File Size : 49,6 Mb
Release : 2016-03-24
Category : Mathematics
ISBN : 9783319240824
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.
Author : Erdal Karapinar,Ravi P. Agarwal
Publisher : Springer Nature
Page : 141 pages
File Size : 48,7 Mb
Release : 2022-12-07
Category : Mathematics
ISBN : 9783031149696
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.
Author : Praveen Agarwal,Mohamed Jleli,Bessem Samet
Publisher : Springer
Page : 180 pages
File Size : 42,7 Mb
Release : 2019-11-05
Category : Mathematics
ISBN : 9811348111
Author : Dhananjay Gopal,Poom Kumam,Mujahid Abbas
Publisher : CRC Press
Page : 262 pages
File Size : 51,8 Mb
Release : 2017-11-28
Category : Mathematics
ISBN : 9781351243360
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.
Author : Yeol Je Cho,Mohamed Jleli,Mohammad Mursaleen,Bessem Samet,Calogero Vetro
Publisher : Springer Nature
Page : 503 pages
File Size : 48,9 Mb
Release : 2021-06-05
Category : Mathematics
ISBN : 9789813366473
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 : Qamrul Hasan Ansari
Publisher : Alpha Science International Limited
Page : 196 pages
File Size : 54,8 Mb
Release : 2010-01-01
Category : Science
ISBN : 1842656554
METRIC SPACES is intended for undergraduate students offering a course of metric spaces and post graduate students offering a course of nonlinear analysis or fixed point theory. The first six chapters cover basic concepts of metric spaces, separable spaces, compact spaces, connected spaces and continuity of functions defined on a metric space. Chapter seven is devoted to the metric fixed point theory. Banach contraction theorem and several of its generalizations along with their applications and Caristi's fixed point theorem are also given in this chapter. The introductory set-valued analysis with special emphysis on continuity and fixed point theory of set-valued maps is given in chapter eight. One of the most useful and important results from nonlinear analysis is Ekeland's variational principle. This principle along with several of its equivalent forms, Takahashi's minimization theorem, introduction of theory of equilibrium problems and the equilibrium version of Ekeland's variational principle and several of its equivalent forms are presented in the last chapter. This book will also be useful for researchers working in nonlinear analysis, optimization and theory of equilibrium problems.
Author : Pradip Debnath,Nabanita Konwar,Stojan Radenović
Publisher : Springer Nature
Page : 356 pages
File Size : 51,8 Mb
Release : 2022-01-04
Category : Mathematics
ISBN : 9789811648960
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 : Wadei F. Al-Omeri, Saeid Jafari,Florentin Smarandache
Publisher : Infinite Study
Page : 16 pages
File Size : 53,5 Mb
Release : 2024-06-30
Category : Mathematics
ISBN : 8210379456XXX
The intention of this paper is to give the general de nition of cone metric space in the context of the neutrosophic theory. In this relation, we obtain some fundamental results concerting xed points for weakly compatible mapping.
Author : J.M. Ayerbe Toledano,T. Dominguez Benavides,G. Lopez Acedo
Publisher : Birkhäuser
Page : 222 pages
File Size : 40,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034889209
What is clear and easy to grasp attracts us; complications deter David Hilbert The material presented in this volume is based on discussions conducted in peri odically held seminars by the Nonlinear Functional Analysis research group of the University of Seville. This book is mainly addressed to those working or aspiring to work in the field of measures of noncompactness and metric fixed point theory. Special em phasis is made on the results in metric fixed point theory which were derived from geometric coefficients defined by means of measures of noncompactness and on the relationships between nonlinear operators which are contractive for different measures. Several topics in these notes can be found either in texts on measures of noncompactness (see [AKPRSj, [BG]) or in books on metric fixed point theory (see [GK1], [Sm], [Z]). Many other topics have come from papers where the authors of this volume have published the results of their research over the last ten years. However, as in any work of this type, an effort has been made to revise many proofs and to place many others in a correct setting. Our research was made possible by partial support of the D.G.I.C.y'T. and the Junta de Andalucia.
Author : Qamrul Hasan Ansari,Daya Ram Sahu
Publisher : Cambridge University Press
Page : 236 pages
File Size : 55,7 Mb
Release : 2023-08-31
Category : Mathematics
ISBN : 9781009392747
The book is designed for undergraduates, graduates, and researchers of mathematics studying fixed point theory or nonlinear analysis. Basic techniques and results of topics such as fixed point theory, set-valued analysis, variational principles, and equilibrium problems are presented in an understandable and thorough manner.
Author : Yeol Je Cho
Publisher : Nova Publishers
Page : 220 pages
File Size : 44,8 Mb
Release : 2002
Category : Mathematics
ISBN : 1590331893
Fixed Point Theory & Applications Volume II
Author : William Kirk,Naseer Shahzad
Publisher : Springer
Page : 0 pages
File Size : 45,8 Mb
Release : 2016-08-23
Category : Mathematics
ISBN : 3319364057
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.
Author : Shih-sen Chang,Yeol Je Cho,Sin-min Kang
Publisher : Nova Publishers
Page : 358 pages
File Size : 54,9 Mb
Release : 2001
Category : Mathematics
ISBN : 1560729805
The purpose of this book is to give a comprehensive introduction to the study of non-linear operator theory in probabilistic metric spaces. This book is introduced as a survey of the latest and new results on the following topics: Basic theory of probabilistic metric spaces; Fixed point theorems for single-valued and multi-valued mappings in probabilistic metric spaces; Ekeland's variational principle and Caristi's fixed point theorem in probabilistic metric spaces; Coincidence point theorems, minimisation and fixed degree theorems in probabilistic metric spaces; Probabilistic contractors, accretive mappings and topological degree in probabilistic normed spaces; Nonlinear semigroups and differential equations in probabilistic metric spaces; KKM theorems, minimax theorems and variational inequalities.
