000			03150nam a22004695i 4500
001			978-0-387-75818-3
003			DE-He213
005			20250710084023.0
007			cr nn 008mamaa
008			100301s2009 xxu| s |||| 0|eng d
020			_a9780387758183 _a99780387758183
024	7		_a10.1007/978-0-387-75818-3 _2doi
100	1		_aSahu, D. R. _eauthor.
245	1	0	_aFixed Point Theory for Lipschitzian-type Mappings with Applications _h[recurso electrónico] / _cby D. R. Sahu, Donal O'Regan, Ravi P. Agarwal.
264		1	_aNew York, NY : _bSpringer New York, _c2009.
300			_bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_arecurso en línea _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aTopological Fixed Point Theory and Its Applications ; _v6
505	0		_aFundamentals -- Convexity, Smoothness, and Duality Mappings -- Geometric Coefficients of Banach Spaces -- Existence Theorems in Metric Spaces -- Existence Theorems in Banach Spaces -- Approximation of Fixed Points -- Strong Convergence Theorems -- Applications of Fixed Point Theorems.
520			_aIn recent years, the fixed point theory of Lipschitzian-type mappings has rapidly grown into an important field of study in both pure and applied mathematics. It has become one of the most essential tools in nonlinear functional analysis. This self-contained book provides the first systematic presentation of Lipschitzian-type mappings in metric and Banach spaces. The first chapter covers some basic properties of metric and Banach spaces. Geometric considerations of underlying spaces play a prominent role in developing and understanding the theory. The next two chapters provide background in terms of convexity, smoothness and geometric coefficients of Banach spaces including duality mappings and metric projection mappings. This is followed by results on existence of fixed points, approximation of fixed points by iterative methods and strong convergence theorems. The final chapter explores several applicable problems arising in related fields. This book can be used as a textbook and as a reference for graduate students, researchers and applied mathematicians working in nonlinear functional analysis, operator theory, approximations by iteration theory, convexity and related geometric topics, and best approximation theory.
650		0	_aMATHEMATICS.
650		0	_aGLOBAL ANALYSIS (MATHEMATICS).
650		0	_aFUNCTIONAL ANALYSIS.
650		0	_aTOPOLOGY.
650	1	4	_aMATHEMATICS.
650	2	4	_aTOPOLOGY.
650	2	4	_aANALYSIS.
650	2	4	_aFUNCTIONAL ANALYSIS.
700	1		_aO'Regan, Donal. _eauthor.
700	1		_aAgarwal, Ravi P. _eauthor.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9780387758176
830		0	_aTopological Fixed Point Theory and Its Applications ; _v6
856	4	0	_uhttp://dx.doi.org/10.1007/978-0-387-75818-3 _zVer el texto completo en las instalaciones del CICY
912			_aZDB-2-SMA
942			_2ddc _cER
999			_c58724 _d58724