書目名稱 | Fixed Point Theory in Probabilistic Metric Spaces |
編輯 | Olga Had?i?,Endre Pap |
視頻video | http://file.papertrans.cn/345/344044/344044.mp4 |
叢書名稱 | Mathematics and Its Applications |
圖書封面 |  |
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 |
關(guān)鍵詞 | 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 |