03260nam 22005175i 4500001001800000003000900018005001700027007001500044008004100059020003700100024003500137050001600172072001600188072002300204082001200227100002500239245014500264264004600409300003200455336002600487337002600513338003600539347002400575490006100599505029000660520124300950650001702193650002702210650002802237650002502265650001402290650001702304650001402321650002502335650001402360700002902374700003002403710003402433773002002467776003602487830006102523856004802584912001402632999001902646952007702665978-0-387-75818-3DE-He21320180115171418.0cr nn 008mamaa100301s2009 xxu| s |||| 0|eng d a97803877581839978-0-387-75818-37 a10.1007/978-0-387-75818-32doi 4aQA299.6-433 7aPBK2bicssc 7aMAT0340002bisacsh04a5152231 aSahu, D. R.eauthor.10aFixed Point Theory for Lipschitzian-type Mappings with Applicationsh[electronic resource] /cby D. R. Sahu, Donal O'Regan, Ravi P. Agarwal. 1aNew York, NY :bSpringer New York,c2009. aX, 368 p.bonline resource. atextbtxt2rdacontent acomputerbc2rdamedia aonline resourcebcr2rdacarrier atext filebPDF2rda1 aTopological Fixed Point Theory and Its Applications ;v60 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. 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. 0aMathematics. 0aMathematical analysis. 0aAnalysis (Mathematics). 0aFunctional analysis. 0aTopology.14aMathematics.24aAnalysis.24aFunctional Analysis.24aTopology.1 aO'Regan, Donal.eauthor.1 aAgarwal, Ravi P.eauthor.2 aSpringerLink (Online service)0 tSpringer eBooks08iPrinted edition:z9780387758176 0aTopological Fixed Point Theory and Its Applications ;v640uhttp://dx.doi.org/10.1007/978-0-387-75818-3 aZDB-2-SMA c369687d369687 001040708EBookaelibbelibd2018-01-15r2018-01-15w2018-01-15yEBOOK