不动点理论和应用
分類: 图书,自然科学,数学,几何与拓扑,
作者: (印)拉维加瓦尔著
出 版 社: 世界图书出版公司
出版时间: 2009-1-1字数:版次: 1页数: 169印刷时间:开本: 24开印次:纸张:I S B N : 9787506292825包装: 平装内容简介
本书是“经典英文数学教材系列”之一,全书共分12个章节,主要对不动点理论和应用知识作了介绍,具体内容包括“Contractions”、“Continuation Principles for Condensing Maps”、“Multivalued Maps with Continuous Selections”、“Multivalued Maps with Closed Graph”等。该书可供各大专院校作为教材使用,也可供从事相关工作的人员作为参考用书使用。
目录
Preface
1 Contractions
2 Nonexpansive Maps
3 Continuation Methods for Contractive and Nonexpansive Mappings
4 The Theorems of Brouwer, Schauder and M5nch
5 Nonlinear Alternatives of Leray-Schauder Type
6 Continuation Principles for Condensing Maps
7 Fixed Point Theorems in Conical Shells
8 Fixed Point Theory in Hausdorff Locally Convex Linear Topological Spaces
9 Contractive and Nonexpansive Multivalued Maps
10 Multivalued Maps with Continuous Selections
11 Multivalued Maps with Closed Graph
12 Degree Theory
Bibliography
Index