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MARC 21

Fixed Point Theory for Lipschitzian-type Mappings with Applications
Tag	Description
020	$a9780387758183
082	$a515.72
099	$aOnline Resource : Springer
100	$aSahu, D. R.
245	$aFixed Point Theory for Lipschitzian-type Mappings with Applications$h[Ebook]$cby D. R. Sahu, Donal O'Regan, Ravi P. Agarwal.
260	$aNew York, NY$bSpringer$c2009.
300	$bonline resource.
336	$atext
338	$aonline resource
440	$aTopological Fixed Point Theory and Its Applications ;$v6
505	$aPreface -- Fundamentals -- Convexity, Smoothness and Duality Mappings -- Geometrical 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 -- Appendix -- References -- Index.
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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
700	$aO'Regan, Donal.$eauthor.
700	$aAgarwal, Ravi P.$eauthor.
710	$aSpringerLink (Online service)
830	$aTopological Fixed Point Theory and Its Applications ;$v6
856	$uhttp://dx.doi.org/10.1007/978-0-387-75818-3