Fixed point theory for lipschitzian-type mappingswith applications

Over the past few decades, fixed point theory has developed into an importantfield of study in both pure and applied mathematics. This book presents the main techniques and results in fixed point theory. The first three chapters focus on the basic results and preliminary topics which are later used to developthe presentation. Mappings in metric and Banach spaces are then discussed in terms of the problem of existence, theory of iterative processes for computingfixed points and convergence theorems. The final chapter discusses several applicable problems arising in related fields. Each chapter includes a brief introduction and exercises at the end. This self-contained monograph will be of interest to researchers and graduate students working in this area. Presents many basic techniques and results in fixed point theory Self-contained presentation Good graduate text with exercises at the end of each chapter INDICE: Preface.- 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.

• ISBN: 978-0-387-75817-6
• Editorial: Springer
• Encuadernacion: Cartoné
• Páginas: 366
• Fecha Publicación: 01/03/2009
• Nº Volúmenes: 1
• Idioma: Inglés