Fixed Point Theory in Probabilistic Metric Spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
2001
|
| Schriftenreihe: | Mathematics and Its Applications
536 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (IX, 273 p) |
| ISBN: | 9789401715607 9789048158751 |
| DOI: | 10.1007/978-94-017-1560-7 |
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Datensatz im Suchindex
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| discipline | Mathematik |
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| id | DE-604.BV042424255 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401715607 9789048158751 |
| language | English |
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| spelling | Hadžić, Olga Verfasser aut Fixed Point Theory in Probabilistic Metric Spaces by Olga Hadžić, Endre Pap Dordrecht Springer Netherlands 2001 1 Online-Ressource (IX, 273 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 536 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 Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Distribution (Probability theory) Topology Operator Theory Probability Theory and Stochastic Processes Functional Analysis Mathematical Logic and Foundations Mathematik Pap, Endre Sonstige oth https://doi.org/10.1007/978-94-017-1560-7 Verlag Volltext |
| spellingShingle | Hadžić, Olga Fixed Point Theory in Probabilistic Metric Spaces Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Distribution (Probability theory) Topology Operator Theory Probability Theory and Stochastic Processes Functional Analysis Mathematical Logic and Foundations Mathematik |
| title | Fixed Point Theory in Probabilistic Metric Spaces |
| title_auth | Fixed Point Theory in Probabilistic Metric Spaces |
| title_exact_search | Fixed Point Theory in Probabilistic Metric Spaces |
| title_full | Fixed Point Theory in Probabilistic Metric Spaces by Olga Hadžić, Endre Pap |
| title_fullStr | Fixed Point Theory in Probabilistic Metric Spaces by Olga Hadžić, Endre Pap |
| title_full_unstemmed | Fixed Point Theory in Probabilistic Metric Spaces by Olga Hadžić, Endre Pap |
| title_short | Fixed Point Theory in Probabilistic Metric Spaces |
| title_sort | fixed point theory in probabilistic metric spaces |
| topic | Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Distribution (Probability theory) Topology Operator Theory Probability Theory and Stochastic Processes Functional Analysis Mathematical Logic and Foundations Mathematik |
| topic_facet | Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Distribution (Probability theory) Topology Operator Theory Probability Theory and Stochastic Processes Functional Analysis Mathematical Logic and Foundations Mathematik |
| url | https://doi.org/10.1007/978-94-017-1560-7 |
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