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Stability of Functional Equations in Random Normed Spaces

Language EnglishEnglish
Book Hardback
Book Stability of Functional Equations in Random Normed Spaces Yeol Je Cho
Libristo code: 01429109
Publishers Springer-Verlag New York Inc., August 2013
This book discusses the rapidly developing subject of mathematical analysis that deals primarily wit... Full description
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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.§

About the book

Full name Stability of Functional Equations in Random Normed Spaces
Language English
Binding Book - Hardback
Date of issue 2013
Number of pages 246
EAN 9781461484769
ISBN 1461484766
Libristo code 01429109
Weight 538
Dimensions 158 x 243 x 20
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