Fixed Point Theory in Generalized Metric Spaces, Karapinar
Автор: Carlo Alabiso; Ittay Weiss Название: A Primer on Hilbert Space Theory ISBN: 3319353519 ISBN-13(EAN): 9783319353517 Издательство: Springer Рейтинг: Цена: 65290.00 T Наличие на складе: Заказано в издательстве. Описание: This introduction to Hilbert space will equip the reader for more demanding further study. It builds a pedagogic bridge between the rigorous style of mathematics and the more practical perspective of physicists.
Автор: Martin R. Bridson; Andr? H?fliger Название: Metric Spaces of Non-Positive Curvature ISBN: 3642083994 ISBN-13(EAN): 9783642083990 Издательство: Springer Рейтинг: Цена: 111790.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The purpose of this book is to describe the global properties of complete simply- connected spaces that are non-positively curved in the sense of A. D. Alexandrov and to examine the structure of groups that act properly on such spaces by isometries. Thus the central objects of study are metric spaces in which every pair of points can be joined by an arc isometric to a compact interval of the real line and in which every triangle satisfies the CAT(O) inequality. This inequality encapsulates the concept of non-positive curvature in Riemannian geometry and allows one to reflect the same concept faithfully in a much wider setting - that of geodesic metric spaces. Because the CAT(O) condition captures the essence of non-positive curvature so well, spaces that satisfy this condition display many of the elegant features inherent in the geometry of non-positively curved manifolds. There is therefore a great deal to be said about the global structure of CAT(O) spaces, and also about the structure of groups that act on them by isometries - such is the theme of this book. 1 The origins of our study lie in the fundamental work of A. D. Alexandrov .
Автор: Dorina Mitrea; Irina Mitrea; Marius Mitrea; Sylvie Название: Groupoid Metrization Theory ISBN: 0817683968 ISBN-13(EAN): 9780817683962 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Covering the interface of such areas of mathematics as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology and quasi-metric geometry, this accessible book offers useful techniques and extensive reference material.
The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an iterated decomposition) of a compact metric space. Via a partition, a compact metric space is associated with an infinite graph whose boundary is the original space. Metrics and measures on the space are then studied from an integrated point of view as weights of the partition. In the course of the text:
It is shown that a weight corresponds to a metric if and only if the associated weighted graph is Gromov hyperbolic.
Various relations between metrics and measures such as bilipschitz equivalence, quasisymmetry, Ahlfors regularity, and the volume doubling property are translated to relations between weights. In particular, it is shown that the volume doubling property between a metric and a measure corresponds to a quasisymmetry between two metrics in the language of weights.
The Ahlfors regular conformal dimension of a compact metric space is characterized as the critical index of p-energies associated with the partition and the weight function corresponding to the metric.
These notes should interest researchers and PhD students working in conformal geometry, analysis on metric spaces, and related areas.
Автор: Magnus Robert Название: Metric Spaces: A Companion to Analysis ISBN: 3030949451 ISBN-13(EAN): 9783030949457 Издательство: Springer Рейтинг: Цена: 32600.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: - 1. Metric Spaces. - 2. Basic Theory of Metric Spaces. - 3. Completeness of the Classical Spaces. - 4. Compact Spaces. - 5. Separable Spaces. - 6. Properties of Complete Spaces. - 7. Connected Spaces. - Afterword.
Автор: Hofmann Название: Monoidal Topology ISBN: 1107063949 ISBN-13(EAN): 9781107063945 Издательство: Cambridge Academ Рейтинг: Цена: 155230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Monoidal Topology will appeal to a broad range of mathematicians and theoretical computer scientists who work with ordered, metric and topological structures. It presents frontline research in a number of fields and provides all the necessary pre-requisites in order and category theory.
Автор: Xianzhe Dai; Xiaochun Rong Название: Metric and Differential Geometry ISBN: 3034807538 ISBN-13(EAN): 9783034807531 Издательство: Springer Рейтинг: Цена: 130430.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The various contributions to this volume cover a broad range of topics in metric and differential geometry, including metric spaces, Ricci flow, Einstein manifolds, Kahler geometry, index theory, hypoelliptic Laplacian and analytic torsion.
Автор: Benjamin F. Dribus Название: Discrete Causal Theory ISBN: 3319500813 ISBN-13(EAN): 9783319500812 Издательство: Springer Рейтинг: Цена: 116450.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book evaluates and suggests potentially critical improvements to causal set theory, one of the best-motivated approaches to the outstanding problems of fundamental physics. The causal metric hypothesis treats causal relations as the basis of this structure.
Автор: Karapinar Название: Fixed Point Theory in Generalized Metric Spaces ISBN: 3031149688 ISBN-13(EAN): 9783031149689 Издательство: Springer Рейтинг: Цена: 51230.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This book presents fixed point theory, one of the crucial tools in applied mathematics, functional analysis, and topology, which has been used to solve distinct real-world problems in computer science, engineering, and physics. The authors begin with an overview of the extension of metric spaces. Readers are introduced to general fixed-point theorems while comparing and contrasting important and insignificant metric spaces. The book is intended to be self-contained and serves as a unique resource for researchers in various disciplines.
Автор: Lin Название: Generalized Metric Spaces and Mappings ISBN: 9462392153 ISBN-13(EAN): 9789462392151 Издательство: Springer Рейтинг: Цена: 102480.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
The idea of mutual classification of spaces and mappings is one of the main research directions of point set topology. In a systematical way, this book discusses the basic theory of generalized metric spaces by using the mapping method, and summarizes the most important research achievements, particularly those from Chinese scholars, in the theory of spaces and mappings since the 1960s. This book has three chapters, two appendices and a list of more than 400 references. The chapters are 'The origin of generalized metric spaces', 'Mappings on metric spaces' and 'Classes of generalized metric spaces'.
Graduates or senior undergraduates in mathematics major can use this book as their text to study the theory of generalized metric spaces. Researchers in this field can also use this book as a valuable reference.
Автор: Ansari, Qamrul Hasan (aligarh Muslim University, India) Sahu, Daya Ram (banaras Hindu University, India) Название: Fixed point theory and variational principles in metric spaces ISBN: 1009351451 ISBN-13(EAN): 9781009351454 Издательство: Cambridge Academ Рейтинг: Цена: 100320.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: The book is designed for undergraduates, graduates, and researchers of mathematics studying fixed point theory or nonlinear analysis. It deals with the fixed point theory for not only single-valued maps but also set-valued maps. The text is divided into three parts: fixed point theory for single-valued mappings, continuity and fixed point aspects of set-valued analysis, and variational principles and their equilibrium problems. It comprises a comprehensive study of these topics and includes all important results derived from them. The applications of fixed point principles and variational principles, and their generalizations to differential equations and optimization are covered in the text. An elementary treatment of the theory of equilibrium problems and equilibrium version of Ekeland's variational principle is also provided. New topics such as equilibrium problems, variational principles, Caristi's fixed point theorem, and Takahashi's minimization theorem with their applications are also included.
Автор: O. Hadzic; E. Pap Название: Fixed Point Theory in Probabilistic Metric Spaces ISBN: 9048158753 ISBN-13(EAN): 9789048158751 Издательство: Springer Рейтинг: Цена: 93160.00 T Наличие на складе: Есть у поставщика Поставка под заказ.
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