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Common Fixed Point Theorem In Probabilistic G Metric Space Menger
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Book Synopsis Common Fixed Point Theorem in Probabilistic G-Metric Space Menger by : Samira Jalili Nargesi
Download or read book Common Fixed Point Theorem in Probabilistic G-Metric Space Menger written by Samira Jalili Nargesi and published by Eliva Press. This book was released on 2022-08-23 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, I first introduce the concepts of t-norm, distance distribution function and triangle function and then by using of these concepts, I introduce probabilistic metric space and Menger probabilistic generalized metric space. In the other section, by introducing the concepts of compatibility, weak compatible, property (E . A) and property G^* -(E . A) in a Menger probabilistic generalized metric space I show some fixed point theorems.
Book Synopsis Fixed Point Theory in Probabilistic Metric Spaces by : O. Hadzic
Download or read book Fixed Point Theory in Probabilistic Metric Spaces written by O. Hadzic and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 279 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed point theory in probabilistic metric spaces can be considered as a part of Probabilistic Analysis, which is a very dynamic area of mathematical research. A primary aim of this monograph is to stimulate interest among scientists and students in this fascinating field. The text is self-contained for a reader with a modest knowledge of the metric fixed point theory. Several themes run through this book. The first is the theory of triangular norms (t-norms), which is closely related to fixed point theory in probabilistic metric spaces. Its recent development has had a strong influence upon the fixed point theory in probabilistic metric spaces. In Chapter 1 some basic properties of t-norms are presented and several special classes of t-norms are investigated. Chapter 2 is an overview of some basic definitions and examples from the theory of probabilistic metric spaces. Chapters 3, 4, and 5 deal with some single-valued and multi-valued probabilistic versions of the Banach contraction principle. In Chapter 6, some basic results in locally convex topological vector spaces are used and applied to fixed point theory in vector spaces. Audience: The book will be of value to graduate students, researchers, and applied mathematicians working in nonlinear analysis and probabilistic metric spaces.
Book Synopsis Fixed Point Theorems in Menger Spaces by : Sambhara Srinivasa Ayyappa Sastri
Download or read book Fixed Point Theorems in Menger Spaces written by Sambhara Srinivasa Ayyappa Sastri and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this book, we study the existence of fixed points for various types of maps, such as compatible of type (P) maps, compatible of type (P1) maps, compatible of type (P2) maps, compatible of type (A) maps and 2-compatible maps in probabilistic metric spaces. We also investigate the existence of common fixed points in Menger spaces. This book is divided into SIX chapters (excluding Chapter 0). Chapter 1: A fixed point theorem for four self maps in a Menger space using a contractive control function. Chapter 2: A sufficient condition for a sequence, in a Menger space, to be Cauchy. Chapter 3: A fixed point theorem for four self maps in a Menger space under the influence of a contractive control function of type (AS) Chapter 4: A common fixed point theorem in Menger probabilistic metric spaces using compatibility. Chapter 5: A common fixed point theorem in Menger spaces using an implicit relation. Chapter 6: A fixed point theorem in Menger PQM spaces using weak compatibility. Each chapter is almost self contained.
Book Synopsis Nonlinear Operator Theory in Probablistic Metric Spaces by : Shih-sen Chang
Download or read book Nonlinear Operator Theory in Probablistic Metric Spaces written by Shih-sen Chang and published by Nova Publishers. This book was released on 2001 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Some Fixed Point Theorems in Menger Spaces and Applications by : Suneel Kumar
Download or read book Some Fixed Point Theorems in Menger Spaces and Applications written by Suneel Kumar and published by LAP Lambert Academic Publishing. This book was released on 2012-04 with total page 84 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory is a beautiful mixture of analysis (pure and applied), topology and geometry. Fixed point theorems give the conditions under which mappings (single or multivalued) have solutions. The fixed point theory in probabilistic metric spaces is useful in the study of existence of solutions of operator equations in probabilistic metric space and probabilistic functional analysis, which is a very dynamic area of mathematical research. The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance between two points; we know only probabilities of possible values of this distance. This book contains six chapters. New fixed point theorems for contraction mappings, expansion mappings, probabilistic densifying mappings are obtained in Menger spaces. Also related fixed point theorems in Menger spaces and applications of fixed point theorems are studied. This book will help the researchers studying fixed point theory.
Book Synopsis Metric Structures and Fixed Point Theory by : Dhananjay Gopal
Download or read book Metric Structures and Fixed Point Theory written by Dhananjay Gopal and published by CRC Press. This book was released on 2021-04-08 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an indisputable argument that the formulation of metrics (by Fréchet in the early 1900s) opened a new subject in mathematics called non-linear analysis after the appearance of Banach’s fixed point theorem. Because the underlying space of this theorem is a metric space, the theory that developed following its publication is known as metric fixed point theory. It is well known that metric fixed point theory provides essential tools for solving problems arising in various branches of mathematics and other sciences such as split feasibility problems, variational inequality problems, non-linear optimization problems, equilibrium problems, selection and matching problems, and problems of proving the existence of solutions of integral and differential equations are closely related to fixed point theory. For this reason, many people over the past seventy years have tried to generalize the definition of metric space and corresponding fixed point theory. This trend still continues. A few questions lying at the heart of the theory remain open and there are many unanswered questions regarding the limits to which the theory may be extended. Metric Structures and Fixed Point Theory provides an extensive understanding and the latest updates on the subject. The book not only shows diversified aspects of popular generalizations of metric spaces such as symmetric, b-metric, w-distance, G-metric, modular metric, probabilistic metric, fuzzy metric, graphical metric and corresponding fixed point theory but also motivates work on existing open problems on the subject. Each of the nine chapters—contributed by various authors—contains an Introduction section which summarizes the material needed to read the chapter independently of the others and contains the necessary background, several examples, and comprehensive literature to comprehend the concepts presented therein. This is helpful for those who want to pursue their research career in metric fixed point theory and its related areas. Features Explores the latest research and developments in fixed point theory on the most popular generalizations of metric spaces Description of various generalizations of metric spaces Very new topics on fixed point theory in graphical and modular metric spaces Enriched with examples and open problems This book serves as a reference for scientific investigators who need to analyze a simple and direct presentation of the fundamentals of the theory of metric fixed points. It may also be used as a text book for postgraduate and research students who are trying to derive future research scope in this area.
Book Synopsis Fixed Point Theory and Applications by : Yeol Je Cho
Download or read book Fixed Point Theory and Applications written by Yeol Je Cho and published by Nova Publishers. This book was released on 2002 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed Point Theory & Applications Volume II
Book Synopsis Fixed Point Theory in Metric Type Spaces by : Ravi P. Agarwal
Download or read book Fixed Point Theory in Metric Type Spaces written by Ravi P. Agarwal and published by Springer. This book was released on 2016-03-24 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Fixed Point Theory in Probabilistic Metric Spaces by : Olga Hadžić
Download or read book Fixed Point Theory in Probabilistic Metric Spaces written by Olga Hadžić and published by . This book was released on 1995 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Recent Advances in Intuitionistic Fuzzy Logic Systems by : Said Melliani
Download or read book Recent Advances in Intuitionistic Fuzzy Logic Systems written by Said Melliani and published by Springer. This book was released on 2018-10-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims at providing an overview of state-of-the-art in both the theory and methods of intuitionistic fuzzy logic, partial differential equations and numerical methods in informatics. It covers topics such as fuzzy intuitionistic Hilbert spaces, intuitionistic fuzzy differential equations, fuzzy intuitionistic metric spaces, and numerical methods for differential equations. It reports on applications such as fuzzy real time scheduling, intelligent control, diagnostics and time series prediction. Chapters were carefully selected among contributions presented at the second edition of the International Conference on Intuitionistic Fuzzy Sets and Mathematical Science, ICIFSMAS, held on April 11-13, 2018, at Al Akhawayn University of Ifrane, in Morocco.
Book Synopsis Fixed Point Theory and Related Topics by : Hsien-ChungWu
Download or read book Fixed Point Theory and Related Topics written by Hsien-ChungWu and published by MDPI. This book was released on 2020-03-13 with total page 236 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fixed point theory arose from the Banach contraction principle and has been studied for a long time. Its application mostly relies on the existence of solutions to mathematical problems that are formulated from economics and engineering. After the existence of the solutions is guaranteed, the numerical methodology will be established to obtain the approximated solution. Fixed points of function depend heavily on the considered spaces that are defined using the intuitive axioms. In particular, variant metrics spaces are proposed, like a partial metric space, b-metric space, fuzzy metric space and probabilistic metric space, etc. Different spaces will result in different types of fixed point theorems. In other words, there are a lot of different types of fixed point theorems in the literature. Therefore, this Special Issue welcomes survey articles. Articles that unify the different types of fixed point theorems are also very welcome. The topics of this Special Issue include the following: Fixed point theorems in metric space Fixed point theorems in fuzzy metric space Fixed point theorems in probabilistic metric space Fixed point theorems of set-valued functions in various spaces The existence of solutions in game theory The existence of solutions for equilibrium problems The existence of solutions of differential equations The existence of solutions of integral equations Numerical methods for obtaining the approximated fixed points
Book Synopsis Geometry of Linear 2-normed Spaces by : Raymond W. Freese
Download or read book Geometry of Linear 2-normed Spaces written by Raymond W. Freese and published by Nova Publishers. This book was released on 2001 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Existence of Common Fixed Points in Generalized Metric Spaces by : Arvind Bhatt
Download or read book Existence of Common Fixed Points in Generalized Metric Spaces written by Arvind Bhatt and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is related to a topic in functional analysis called "fixed point theory." It is an outcome of the study of fixed point theorems in different spaces. In Chapter I, we give the background of fixed point theory. In the Chapter II, we obtain common fixed point theorems for weakly compatible maps on symmetric spaces.In the second section of this chapter we obtain common fixed point theorems of occasionally weakly compatible maps on (X, d) under relaxation on d. In this chapter we also study the application of fixed point theory in dynamic programming. In the Chapter III, we study common fixed theorems for multivalued maps. In the Chapter IV, common fixed point theorems for a pair of occasionally weakly compatible maps in probabilistic semi - metric space have been obtained. In the second section we obtain some fixed point theorems for JH-operators and occasionally weakly g-biased maps on a set X together with the function F. In Chapter V, we give the epsilon delta contractive definition in the setting of a fuzzy metric space.
Book Synopsis Mathematics and Computer Science, Volume 1 by : Sharmistha Ghosh
Download or read book Mathematics and Computer Science, Volume 1 written by Sharmistha Ghosh and published by John Wiley & Sons. This book was released on 2023-07-19 with total page 564 pages. Available in PDF, EPUB and Kindle. Book excerpt: MATHEMATICS AND COMPUTER SCIENCE This first volume in a new multi-volume set gives readers the basic concepts and applications for diverse ideas and innovations in the field of computing together with its growing interactions with mathematics. This new edited volume from Wiley-Scrivener is the first of its kind to present scientific and technological innovations by leading academicians, eminent researchers, and experts around the world in the areas of mathematical sciences and computing. The chapters focus on recent advances in computer science, and mathematics, and where the two intersect to create value for end users through practical applications of the theory. The chapters herein cover scientific advancements across a diversified spectrum that includes differential as well as integral equations with applications, computational fluid dynamics, nanofluids, network theory and optimization, control theory, machine learning and artificial intelligence, big data analytics, Internet of Things, cryptography, fuzzy automata, statistics, and many more. Readers of this book will get access to diverse ideas and innovations in the field of computing together with its growing interactions in various fields of mathematics. Whether for the engineer, scientist, student, academic, or other industry professional, this is a must-have for any library.
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.
Book Synopsis Probabilistic Metric Spaces by : B. Schweizer
Download or read book Probabilistic Metric Spaces written by B. Schweizer and published by Courier Corporation. This book was released on 2011-10-14 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: This distinctly nonclassical treatment focuses on developing aspects that differ from the theory of ordinary metric spaces, working directly with probability distribution functions rather than random variables. The two-part treatment begins with an overview that discusses the theory's historical evolution, followed by a development of related mathematical machinery. The presentation defines all needed concepts, states all necessary results, and provides relevant proofs. The second part opens with definitions of probabilistic metric spaces and proceeds to examinations of special classes of probabilistic metric spaces, topologies, and several related structures, such as probabilistic normed and inner-product spaces. Throughout, the authors focus on developing aspects that differ from the theory of ordinary metric spaces, rather than simply transferring known metric space results to a more general setting.
Book Synopsis Scientia Magna, Vol. 8, No. 1, 2012 by : Zhang Wenpeng
Download or read book Scientia Magna, Vol. 8, No. 1, 2012 written by Zhang Wenpeng and published by Infinite Study. This book was released on with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Papers on the hybrid mean value of the Smarandache kn digital, separation axioms in an ordered intuitionistic fuzzy bitopological space, iterations of strongly pseudocontractive maps in Banach spaces, certain differential subordination involving a multiplier transformation, modified multi-step Noor method for a finite family of strongly pseudo-contractive maps, and similar topics. Contributors: N. Subramanian, R. N. Devi, U. K. Misra, A. A. Mogbademu, S. Hussain, S. Panayappan, S. Chauhan, and others.
