Nonlinear Operator Theory In Probablistic Metric Spaces

Author : Shih-sen Chang,Yeol Je Cho,Sin-min Kang
Publisher : Nova Publishers
Page : 358 pages
File Size : 44,7 Mb
Release : 2001
Category : Mathematics
ISBN : 1560729805

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Nonlinear Operator Theory in Probablistic Metric Spaces by Shih-sen Chang,Yeol Je Cho,Sin-min Kang Pdf

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.

Author : Shih-sen Chang,Yeol Je Cho,Sin-min Kang
Publisher : Unknown
Page : 430 pages
File Size : 45,9 Mb
Release : 1994
Category : Metric spaces
ISBN : 7561411065

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Probabilistic Metric Spaces and Nonlinear Operator Theory by Shih-sen Chang,Yeol Je Cho,Sin-min Kang Pdf

Author : Yeol Je Cho
Publisher : Nova Publishers
Page : 216 pages
File Size : 42,7 Mb
Release : 2007-08
Category : Mathematics
ISBN : 1594548773

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Fixed Point Theory and Applications by Yeol Je Cho Pdf

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 : O. Hadzic,E. Pap
Publisher : Springer Science & Business Media
Page : 279 pages
File Size : 55,9 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9789401715607

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Fixed Point Theory in Probabilistic Metric Spaces by O. Hadzic,E. Pap Pdf

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.

Author : Yeol Je Cho,Mariusz Grabiec,Viorel Radu
Publisher : Nova Publishers
Page : 230 pages
File Size : 48,8 Mb
Release : 2006
Category : Mathematics
ISBN : 1594549176

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On Nonsymmetric Topological and Probabilistic Structures by Yeol Je Cho,Mariusz Grabiec,Viorel Radu Pdf

In this book, generally speaking, some properties of bitopological spaces generated by certain non-symmetric functions are studied. These functions, called "probabilistic quasi-pseudo-metrics" and "fuzzy quasi-pseudo-metrics", are generalisations of classical quasi-pseudo metrics. For the sake of completeness as well as for convenience and easy comparison, most of the introductory paragraphs are mainly devoted to fundamental notions and results from the classical -- deterministic or symmetric -- theory.

Author : Jian Yu,Salvatore Greco,Pawan Lingras,Guoyin Wang,Andrzej Skowron
Publisher : Springer
Page : 781 pages
File Size : 48,8 Mb
Release : 2010-10-01
Category : Computers
ISBN : 9783642162480

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Rough Set and Knowledge Technology by Jian Yu,Salvatore Greco,Pawan Lingras,Guoyin Wang,Andrzej Skowron Pdf

TheInternationalConferenceonRoughSetandKnowledgeTechnology(RSKT) has been held every year since 2006. RSKT serves as a major forum that brings researchers and industry practitioners together to discuss and deliberate on fundamental issues of knowledge processing and management and knowled- intensive practical solutions in the current knowledge age. Experts from around the world meet to present state-of-the-art scienti?c results, to nurture academic and industrial interaction, and to promote collaborative research in rough sets and knowledge technology. The ?rst RSKT was held in Chongqing, China, f- lowed by RSKT 2007 in Toronto, Canada, RSKT 2008 in Chengdu, China and RSKT 2009 in Gold Coast, Australia. RSKT 2010, the 5th in the series, was held in Beijing, China, October 15–17, 2010. This volume contains 98 papers selected for presentation at RSKT 2010. Following the success of the previous conferences, RSKT 2010 continued the tradition of a very rigorous reviewing process. Every submission was reviewed byatleasttworeviewers.Moreover,RSKT2010invitedseveralareachairsto- pervise the review process of every submission. Most submissions were reviewed by three experts. The Program Committee members were deeply involved in a highly engaging selection process with discussions among reviewers and area chairs. When necessary, additional expert reviews were sought. As a result, only top-quality papers were chosen for presentation at the conference, including 49 regular papers (acceptance rate of 28%) and 25 short papers (acceptance rate of 14.3%). We would like to thank all the authors for contributing their best papers. Without their support, this conference would not have been possible.

Author : Yu Qing Chen,Yeol Je Cho
Publisher : Nova Publishers
Page : 192 pages
File Size : 54,8 Mb
Release : 2004
Category : Mathematics
ISBN : 1594540675

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Nonlinear Operator Theory in Abstract Spaces and Applications by Yu Qing Chen,Yeol Je Cho Pdf

This book primarily deals with non-linear operator theory in topological vector spaces and applications. Recently, non-linear functional analysis has become a main field of mathematics, which has played an important role in physics, mechanics and engineering, operations research and economics and many others for the past few decades. The book presents a survey of some main ideas, concepts, methods and applications in non-linear functional analysis.

Author : O. Hadzic,Endre Pap
Publisher : Unknown
Page : 288 pages
File Size : 45,7 Mb
Release : 2014-01-15
Category : Electronic
ISBN : 9401715610

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Fixed Point Theory in Probabilistic Metric Spaces by O. Hadzic,Endre Pap Pdf

Author : B. Schweizer,A. Sklar
Publisher : Courier Corporation
Page : 354 pages
File Size : 42,9 Mb
Release : 2011-10-14
Category : Mathematics
ISBN : 9780486143750

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Probabilistic Metric Spaces by B. Schweizer,A. Sklar Pdf

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.

Author : S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine
Publisher : Springer Nature
Page : 277 pages
File Size : 44,5 Mb
Release : 2022-12-07
Category : Mathematics
ISBN : 9789811961168

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Approximation Theory, Sequence Spaces and Applications by S. A. Mohiuddine,Bipan Hazarika,Hemant Kumar Nashine Pdf

This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and possible applications which improve the current understanding pertaining to sequence spaces and approximation theory. The presentation of the articles is clear and self-contained throughout the book.

Author : Etienne E. Kerre,John Mordeson
Publisher : MDPI
Page : 287 pages
File Size : 49,8 Mb
Release : 2018-11-28
Category : Electronic books
ISBN : 9783038973225

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Fuzzy Mathematics by Etienne E. Kerre,John Mordeson Pdf

This book is a printed edition of the Special Issue "Fuzzy Mathematics" that was published in Mathematics

Author : Reza Saadati
Publisher : Academic Press
Page : 82 pages
File Size : 49,9 Mb
Release : 2016-08-24
Category : Mathematics
ISBN : 9780081009550

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Random Operator Theory by Reza Saadati Pdf

Random Operator Theory provides a comprehensive discussion of the random norm of random bounded linear operators, also providing important random norms as random norms of differentiation operators and integral operators. After providing the basic definition of random norm of random bounded linear operators, the book then delves into the study of random operator theory, with final sections discussing the concept of random Banach algebras and its applications. Explores random differentiation and random integral equations Delves into the study of random operator theory Discusses the concept of random Banach algebras and its applications

Author : Yeol Je Cho,Themistocles M. Rassias,Reza Saadati
Publisher : Springer
Page : 410 pages
File Size : 41,9 Mb
Release : 2018-08-12
Category : Mathematics
ISBN : 9783319935010

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Fuzzy Operator Theory in Mathematical Analysis by Yeol Je Cho,Themistocles M. Rassias,Reza Saadati Pdf

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.

Author : Istratescu
Publisher : CRC Press
Page : 332 pages
File Size : 52,6 Mb
Release : 1983-12-13
Category : Mathematics
ISBN : 0824717961

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Strict Convexity and Complex Strict Convexity by Istratescu Pdf

This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized, accessible format.After introducing the subject through a discussion of the basic results of linear functionalanalysis, this unique book proceeds to investigate the characteristics of strictly convexspaces and related classes, including uniformly convex spaces, and examine important applicationsregarding approximation theory and fixed point theory. Following this extensivetreatment, the book discusses complex strictly convex spaces and related spaces- alsowith applications. Complete, clearly elucidated proofs accompany results throughout thebook, and ample references are provided to aid further research of the subject.Strict Convexity and Complex Strict Convexity is essential fot mathematicians and studentsinterested in geometric theory of Banach spaces and applications to approximationtheory and fixed point theory, and is of great value to engineers working in optimizationstudies. In addition, this volume serves as an excellent text for a graduate course inGeometric Theory of Banach Spaces

Author : Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Publisher : Springer
Page : 616 pages
File Size : 42,9 Mb
Release : 2018-02-14
Category : Mathematics
ISBN : 9783319698083

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Analysis in Banach Spaces by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis Pdf

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.