000 03675nam a22005415i 4500
001 978-0-387-75818-3
003 DE-He213
005 20181204133145.0
007 cr nn 008mamaa
008 100301s2009 xxu| s |||| 0|eng d
020 _a9780387758183
_9978-0-387-75818-3
024 7 _a10.1007/978-0-387-75818-3
_2doi
040 _aISI Library, Kolkata
050 4 _aQA299.6-433
072 7 _aPBK
_2bicssc
072 7 _aMAT034000
_2bisacsh
072 7 _aPBK
_2thema
082 0 4 _a515
_223
100 1 _aSahu, D. R.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aFixed Point Theory for Lipschitzian-type Mappings with Applications
_h[electronic resource] /
_cby D. R. Sahu, Donal O'Regan, Ravi P. Agarwal.
264 1 _aNew York, NY :
_bSpringer New York,
_c2009.
300 _aX, 368 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_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 _aGlobal analysis (Mathematics).
650 0 _aFunctional analysis.
650 0 _aTopology.
650 1 4 _aAnalysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12007
650 2 4 _aFunctional Analysis.
_0http://scigraph.springernature.com/things/product-market-codes/M12066
650 2 4 _aTopology.
_0http://scigraph.springernature.com/things/product-market-codes/M28000
700 1 _aO'Regan, Donal.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
700 1 _aAgarwal, Ravi P.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9780387567464
776 0 8 _iPrinted edition:
_z9781441926067
776 0 8 _iPrinted edition:
_z9780387758176
830 0 _aTopological Fixed Point Theory and Its Applications ;
_v6
856 4 0 _uhttps://doi.org/10.1007/978-0-387-75818-3
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c426139
_d426139