书目名称 | Stability of Functional Equations in Random Normed Spaces |
编辑 | Yeol Je Cho,Themistocles M. Rassias,Reza Saadati |
视频video | |
概述 | Presents results proved in detail with several outlines examples to make the presentation of the theory well understood by large audiences.Discusses useful research to both pure and applied mathematic |
丛书名称 | Springer Optimization and Its Applications |
图书封面 |  |
描述 | .This book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research..The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research.. |
出版日期 | Book 2013 |
关键词 | functional equations in generalized spaces; non-Archimedean random spaces; random normed spaces via fi |
版次 | 1 |
doi | https://doi.org/10.1007/978-1-4614-8477-6 |
isbn_softcover | 978-1-4939-0110-4 |
isbn_ebook | 978-1-4614-8477-6Series ISSN 1931-6828 Series E-ISSN 1931-6836 |
issn_series | 1931-6828 |
copyright | Springer Science+Business Media New York 2013 |