FIXED POINT THEORY IN PROBABILISTIC METRIC SPACES by Olga Hadzic, Endre Pap ( 9781402001291 )

Item Details

Title:

FIXED POINT THEORY IN PROBABILISTIC METRIC SPACES

By:

Format:

Hardback

List price:	£71.00
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ISBN 10:

1402001290

ISBN 13:

9781402001291

Publisher:

SPRINGER-VERLAG NEW YORK INC.

Pub. date:

30 November, 2001

Edition:

2001 ed.

Series:

Mathematics and Its Applications 536

Pages:

273

Description:

Presenting basic properties of t-norms, this book contains definitions and examples from the theory of probabilistic metric spaces and deals with single-valued and multi-valued probabilistic versions of the Banach contraction principle. It employs the results in locally convex topological vector spaces to fixed point theory in vector spaces.

Synopsis:

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.

Illustrations:

IX, 273 p.

Publication:

Imprint:

Springer-Verlag New York Inc.

Returns:

Returnable

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