| 书目名称 | Fixed Point Theory in Probabilistic Metric Spaces | | 编辑 | Olga Hadžić,Endre Pap | | 视频video | | | 丛书名称 | Mathematics and Its Applications | | 图书封面 |  | | 描述 | Fixed point theory in probabilistic metric spaces can beconsidered as a part of Probabilistic Analysis, which is a verydynamic area of mathematical research. A primary aim of this monographis to stimulate interest among scientists and students in thisfascinating field. The text is self-contained for a reader with amodest knowledge of the metric fixed point theory. .Several themes run through this book. The first is the theory oftriangular norms (t-norms), which is closely related to fixed pointtheory in probabilistic metric spaces. Its recent development has hada strong influence upon the fixed point theory in probabilistic metricspaces. .In Chapter 1 some basic properties of t-norms are presented andseveral special classes of t-norms are investigated. Chapter 2 is anoverview of some basic definitions and examples from the theory ofprobabilistic metric spaces. Chapters 3, 4, and 5 deal with somesingle-valued and multi-valued probabilistic versions of the Banachcontraction principle. In Chapter 6, some basic results in locallyconvex topological vector spaces are used and applied to fixed pointtheory in vector spaces. ..Audience:. The book will be of value to graduate students,resear | | 出版日期 | Book 2001 | | 关键词 | Area; DEX; Mathematica; Vector space; boundary element method; development; field; fixed point theory; knowl | | 版次 | 1 | | doi | https://doi.org/10.1007/978-94-017-1560-7 | | isbn_softcover | 978-90-481-5875-1 | | isbn_ebook | 978-94-017-1560-7 | | copyright | Springer Science+Business Media Dordrecht 2001 |
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发表于 2025-3-21 18:35:55
