000			03399nam a22005055i 4500
001			978-1-4614-8477-6
003			DE-He213
005			20140220082831.0
007			cr nn 008mamaa
008			130826s2013 xxu| s |||| 0|eng d
020			_a9781461484776 _9978-1-4614-8477-6
024	7		_a10.1007/978-1-4614-8477-6 _2doi
050		4	_aQA319-329.9
072		7	_aPBKF _2bicssc
072		7	_aMAT037000 _2bisacsh
082	0	4	_a515.7 _223
100	1		_aCho, Yeol Je. _eauthor.
245	1	0	_aStability of Functional Equations in Random Normed Spaces _h[electronic resource] / _cby Yeol Je Cho, Themistocles M. Rassias, Reza Saadati.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXIX, 246 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aSpringer Optimization and Its Applications, _x1931-6828 ; _v86
505	0		_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.
520			_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.
650		0	_aMathematics.
650		0	_aFunctional analysis.
650		0	_aDifferential equations, partial.
650		0	_aMathematical optimization.
650	1	4	_aMathematics.
650	2	4	_aFunctional Analysis.
650	2	4	_aOptimization.
650	2	4	_aPartial Differential Equations.
700	1		_aRassias, Themistocles M. _eauthor.
700	1		_aSaadati, Reza. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461484769
830		0	_aSpringer Optimization and Its Applications, _x1931-6828 ; _v86
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-8477-6
912			_aZDB-2-SMA
999			_c96058 _d96058