Normal view MARC view ISBD view

Fixed point theorems and applications

By: Pata, Vittorino.
Material type: materialTypeLabelBookSeries: Unitext ; v. 116.Publisher: Cham : Springer, 2019Description: xvii, 171 p. ; ill., 23 cm.ISBN: 9783030196691.Subject(s): Fixed point theory | Brouwer and fixed point theorem | Markov Kakutani theorem | Functional analysis | Partial differentia equation | Ordinary differential equations | Operator theory | Partial differential equationsDDC classification: 515.7248 Summary: 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.
Tags from this library: No tags from this library for this title. Log in to add tags.
Item type Current location Call number Status Date due Barcode
Books 515.7248 PAT (Browse shelf) Available 034481

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.

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha