Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.
One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need of such considerations comes from a number of applications to problems of mathematical analysis. The list of subjects includes: differential calculus in normed spaces, approximation theory, weak topologies and reflexivity, general theory of convexity and convex functions, metric fixed point theory and others. The book presents basic facts from this field.
The publication of a third edition after only five years confirms the widespread popularity of this book. Apart from the numerous additions and modifications consequent on the substantial expansion of knowledge in this field, the authors have further improved the value of this text with the excellent chapter, as men tioned in their preface, on general aspects of the problem. The advances referred to in this chapter, particularly molecular genetics and database access, have transformed the diagnosis of skeletal dysplasias. However, this basic text remains an essential starting point for anyone confronted with an unfamiliar condition. Among the references listed on page xix, Dr Kozlowski's paper 'The radiographic clues in the diagnosis of bone dysplasias', Pediatric Radiology 1985; 15: 1-3, is still essential reading. John Masel Preface to the First Edition The skeleton is involved to a significant extent in more than 500 genetic and congenital syndromes and although the majority of these are individually rare, collectively they are not uncommon. Diagnostic precision, which is crucial for accurate prognostication and effective management, is frequently dependent upon recognition of radiological stigmata. For this reason the radiologist plays a key role in the appraisal and investigation of persons with disorders of this type. With these points in mind we have written this handbook for use in the radiographic reporting room. We have endeavored to provide the essential information which will facilitate radiodiagnosis and have striven for clarity and accuracy.
One of the subjects of functional analysis is classification of Banach spaces depending on various properties of the unit ball. The need of such considerations comes from a number of applications to problems of mathematical analysis. The list of subjects includes: differential calculus in normed spaces, approximation theory, weak topologies and reflexivity, general theory of convexity and convex functions, metric fixed point theory and others. The book presents basic facts from this field.
Metric Fixed Point Theory has proved a flourishing area of research for many mathematicians. This book aims to offer the mathematical community an accessible, self-contained account which can be used as an introduction to the subject and its development. It will be understandable to a wide audience, including non-specialists, and provide a source of examples, references and new approaches for those currently working in the subject.
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