E. Pap's Books

Triangular Norms

By: Erich Peter Klement,R. Mesiar,E. Pap

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Triangular Norms

By: Erich Peter Klement,R. Mesiar,E. Pap

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.

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Page Count

391

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401595402

ISBN 13

9789401595407

Fixed Point Theory in Probabilistic Metric Spaces

By: O. Hadzic,E. Pap

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Fixed Point Theory in Probabilistic Metric Spaces

By: O. Hadzic,E. Pap

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.

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Page Count

279

Publisher

Springer Science & Business Media

Published Date

ISBN 10

9401715602

ISBN 13

9789401715607

Handbook of Measure Theory

In two volumes

By: E. Pap

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Handbook of Measure Theory

In two volumes

By: E. Pap

The main goal of this Handbook isto survey measure theory with its many different branches and itsrelations with other areas of mathematics. Mostly aggregating many classical branches of measure theory the aim of the Handbook is also to cover new fields, approaches and applications whichsupport the idea of "measure" in a wider sense, e.g. the ninth part of the Handbook. Although chapters are written of surveys in the variousareas they contain many special topics and challengingproblems valuable for experts and rich sources of inspiration.Mathematicians from other areas as well as physicists, computerscientists, engineers and econometrists will find useful results andpowerful methods for their research. The reader may find in theHandbook many close relations to other mathematical areas: realanalysis, probability theory, statistics, ergodic theory,functional analysis, potential theory, topology, set theory,geometry, differential equations, optimization, variationalanalysis, decision making and others. The Handbook is a richsource of relevant references to articles, books and lecturenotes and it contains for the reader's convenience an extensivesubject and author index.

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Page Count

1633

Publisher

Elsevier

Published Date

ISBN 10

0080533094

ISBN 13

9780080533094

Book's by E. Pap

Triangular Norms

Triangular Norms

Fixed Point Theory in Probabilistic Metric Spaces

Fixed Point Theory in Probabilistic Metric Spaces

Handbook of Measure Theory

Handbook of Measure Theory

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