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Probabilistic Metric Spaces
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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 Probability Measures on Metric Spaces by : K. R. Parthasarathy
Download or read book Probability Measures on Metric Spaces written by K. R. Parthasarathy and published by Academic Press. This book was released on 2014-07-03 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Probability Measures on Metric Spaces presents the general theory of probability measures in abstract metric spaces. This book deals with complete separable metric groups, locally impact abelian groups, Hilbert spaces, and the spaces of continuous functions. Organized into seven chapters, this book begins with an overview of isomorphism theorem, which states that two Borel subsets of complete separable metric spaces are isomorphic if and only if they have the same cardinality. This text then deals with properties such as tightness, regularity, and perfectness of measures defined on metric spaces. Other chapters consider the arithmetic of probability distributions in topological groups. This book discusses as well the proofs of the classical extension theorems and existence of conditional and regular conditional probabilities in standard Borel spaces. The final chapter deals with the compactness criteria for sets of probability measures and their applications to testing statistical hypotheses. This book is a valuable resource for statisticians.
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 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 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 Triangular Norms by : Erich Peter Klement
Download or read book Triangular Norms written by Erich Peter Klement and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the theory of triangular norms and surveys several applied fields in which triangular norms play a significant part: probabilistic metric spaces, aggregation operators, many-valued logics, fuzzy logics, sets and control, and non-additive measures together with their corresponding integrals. It includes many graphical illustrations and gives a well-balanced picture of theory and applications. It is for mathematicians, computer scientists, applied computer scientists and engineers.
Book Synopsis On Fixed Points in Uniform Spaces with Applications to Probabilistic Metric Spaces by : Seppo Heikkilä
Download or read book On Fixed Points in Uniform Spaces with Applications to Probabilistic Metric Spaces written by Seppo Heikkilä and published by . This book was released on 1978 with total page 26 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Gradient Flows written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2005-01-28 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to a theory of gradient ?ows in spaces which are not nec- sarily endowed with a natural linear or di?erentiable structure. It is made of two parts, the ?rst one concerning gradient ?ows in metric spaces and the second one 2 1 devoted to gradient ?ows in the L -Wasserstein space of probability measures on p a separable Hilbert space X (we consider the L -Wasserstein distance, p? (1,?), as well). The two parts have some connections, due to the fact that the Wasserstein space of probability measures provides an important model to which the “metric” theory applies, but the book is conceived in such a way that the two parts can be read independently, the ?rst one by the reader more interested to Non-Smooth Analysis and Analysis in Metric Spaces, and the second one by the reader more oriented to theapplications in Partial Di?erential Equations, Measure Theory and Probability.
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 2011-11-30 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.
Download or read book Gradient Flows written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2008-10-29 with total page 334 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is devoted to the theory of gradient flows in the general framework of metric spaces, and in the more specific setting of the space of probability measures, which provide a surprising link between optimal transportation theory and many evolutionary PDE's related to (non)linear diffusion. Particular emphasis is given to the convergence of the implicit time discretization method and to the error estimates for this discretization, extending the well established theory in Hilbert spaces. The book is split in two main parts that can be read independently of each other.
Book Synopsis On Nonsymmetric Topological and Probabilistic Structures by : Yeol Je Cho
Download or read book On Nonsymmetric Topological and Probabilistic Structures written by Yeol Je Cho and published by Nova Publishers. This book was released on 2006 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Probability Measures on Metric Spaces by : Kalyanapuram Rangachari Parthasarathy
Download or read book Probability Measures on Metric Spaces written by Kalyanapuram Rangachari Parthasarathy and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probabilistic Metric Spaces and Nonlinear Operator Theory by : Shih-sen Chang
Download or read book Probabilistic Metric Spaces and Nonlinear Operator Theory written by Shih-sen Chang and published by . This book was released on 1994 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 . This book was released on 2014-01-15 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Probability Measures on Metric Spaces by : Kalyanapuram R. Parthasarathy
Download or read book Probability Measures on Metric Spaces written by Kalyanapuram R. Parthasarathy and published by . This book was released on 1982 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Random Probability Measures on Polish Spaces by : Hans Crauel
Download or read book Random Probability Measures on Polish Spaces written by Hans Crauel and published by CRC Press. This book was released on 2002-07-25 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph the narrow topology on random probability measures on Polish spaces is investigated in a thorough and comprehensive way. As a special feature, no additional assumptions on the probability space in the background, such as completeness or a countable generated algebra, are made. One of the main results is a direct proof of the rando
Book Synopsis Data Privacy Management, Cryptocurrencies and Blockchain Technology by : Joaquin Garcia-Alfaro
Download or read book Data Privacy Management, Cryptocurrencies and Blockchain Technology written by Joaquin Garcia-Alfaro and published by Springer. This book was released on 2018-09-06 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed conference proceedings of the 2nd International Workshop on Cryprocurrencies and Blockchain Technology, CBT 2018, and the 13thInternational Workshop on Data Privacy Management, DPM 2018, on conjunction with the 23nd European Symposium on Research in Computer Security, ESORICS 2018, held in Barcelona, Spain, in September 2018. From the CBT Workshop 7 full and 8 short papers out of 39 submissions are included. The selected papers cover aspects of identity management, smart contracts, soft- and hardforks, proof-of-works and proof of stake as well as on network layer aspects and the application of blockchain technology for secure connect event ticketing. The DPM Workshop received 36 submissions from which 11 full and 5 short papers were selected for presentation. The papers focus on challenging problems such as translation of high-level buiness goals into system level privacy policies, administration of sensitive identifiers, data integration and privacy engineering.
