Fixed Point Theory in Probabilistic Metric Spaces is popular PDF and ePub book, written by O. Hadzic in 2013-06-29, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Fixed Point Theory in Probabilistic Metric Spaces can be Read Online from any device for your convenience.
Fixed Point Theory in Probabilistic Metric Spaces Book PDF Summary
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.
Detail Book of Fixed Point Theory in Probabilistic Metric Spaces PDF
- Author : O. Hadzic
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401715607
- Genre : Mathematics
- Total Page : 279 pages
- Language : English
- PDF File Size : 8,7 Mb
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