Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 515.7248 PAT (Browse shelf) | Available | 034481 |
515.7246 PAR Linear operators and linear systems : an analytical approach to control theory | 515.7248 FAR Fixed point theorems and their applications | 515.7248 KES Nonlinear functional analysis : a first course | 515.7248 PAT Fixed point theorems and applications | 515.7248 SHA Fixed points | 515.73 GOH Invariant subspaces of matrices with applications | 515.73 ISM Ridge functions and applications in neural networks |
Includes bibliographical references and index.
This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master's and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.
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