TY - BOOK
AU - Sahu,D.R.
AU - O'Regan,Donal
AU - Agarwal,Ravi P.
ED - SpringerLink (Online service)
TI - Fixed Point Theory for Lipschitzian-type Mappings with Applications
T2 - Topological Fixed Point Theory and Its Applications
SN - 9780387758183
AV - QA299.6-433
U1 - 515 23
PY - 2009///
CY - New York, NY
PB - Springer New York
KW - Mathematics
KW - Mathematical analysis
KW - Analysis (Mathematics)
KW - Functional analysis
KW - Topology
KW - Analysis
KW - Functional Analysis
N1 - Fundamentals -- 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
N2 - In 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
UR - http://dx.doi.org/10.1007/978-0-387-75818-3
ER -