Overview

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.
ISBN-13

9789401715614

ISBN-10

9401715610

Weight

0.90 Pounds

Dimensions

6.14 x 0.60 x 9.21 In

List Price

$24.99

Format

Paperback

Language

English

Pages

288 pages

Publisher

Springer

Published On

2014-01-15


View All Offers

Sort by:

Condition
Seller
Seller Comments
Price
✨ Brand New
Seller details
Paperbackshop
★★★★★

Bensenville, IL, USA

New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Please note we cannot of...
$72.52

 Free delivery by: 30 Mar 2026


Bookstores.com relies on cookies to improve your experience.