LEADER 03179nam  2200505 a 450 
001 9910438151903321
005 20200520144314.0
010   $a1-4614-8477-4
024 7 $a10.1007/978-1-4614-8477-6
035   $a(OCoLC)857811439
035   $a(MiFhGG)GVRL6XMA
035   $a(CKB)2670000000530529
035   $a(MiAaPQ)EBC1398530
035   $a(EXLCZ)992670000000530529
100   $a20130820d2013      uy         0
101 0 $aeng
135   $aurun|---uuuua
181   $ctxt
182   $cc
183   $acr
200 10$aStability of functional equations in random normed spaces /$fYeol Je Cho, Themistocles M. Rassias, Reza Saadati
205   $a1st ed.
210   $aNew York $cSpringer$d2013
215   $a1 online resource (xix, 246 pages)
225  0$aSpringer optimization and its applications,$x1931-6828 ;$vv. 86
300   $a"ISSN: 1931-6828."
311   $a1-4614-8476-6 
311   $a1-4939-0110-9 
320   $aIncludes bibliographical references and index.
327   $aPreface -- 1. Preliminaries -- 2. Generalized Spaces -- 3. Stability of Functional Equations in Random Normed Spaces Under Special t-norms -- 4. Stability of Functional Equations in Random Normed Spaces Under Arbitrary t-norms -- 5. Stability of Functional Equations in random Normed Spaces via Fixed Point Method -- 6. Stability of Functional Equations in Non-Archimedean Random Spaces -- 7. Random Stability of Functional Equations Related to Inner Product Spaces -- 8. Random Banach Algebras and Stability Results.
330   $aThis book discusses the rapidly developing subject of mathematical analysis that deals primarily with stability of functional equations in generalized spaces. The fundamental problem in this subject was proposed by Stan M. Ulam in 1940 for approximate homomorphisms. The seminal work of Donald H. Hyers in 1941 and that of Themistocles M. Rassias in 1978 have provided a great deal of inspiration and guidance for mathematicians worldwide to investigate this extensive domain of research. The book presents a self-contained survey of recent and new results on topics including basic theory of random normed spaces and related spaces; stability theory for new function equations in random normed spaces via fixed point method, under both special and arbitrary t-norms; stability theory of well-known new functional equations in non-Archimedean random normed spaces; and applications in the class of fuzzy normed spaces. It contains valuable results on stability in random normed spaces, and is geared toward both graduate students and research mathematicians and engineers in a broad area of interdisciplinary research.
410  0$aSpringer optimization and its applications ;$vvolume 86.
606   $aFunctional equations
615  0$aFunctional equations.
676   $a515.243
700   $aCho$b Yeol Je$0768253
701   $aRassias$b Themistocles M.$f1951-$040345
701   $aSaadati$b Reza$0768254
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910438151903321
996   $aStability of functional equations in random normed spaces$94196648
997   $aUNINA