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Fixed point theorems and applications

Pata, Vittorino.

Fixed point theorems and applications

Record Type:	Electronic resources : Monograph/item
Title/Author:	Fixed point theorems and applicationsby Vittorino Pata.
Author:	Pata, Vittorino.
Published:	Cham :Springer International Publishing :2019.
Description:	xvii, 171 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Fixed point theory.
Online resource:	https://doi.org/10.1007/978-3-030-19670-7
ISBN:	9783030196707$q(electronic bk.)

Fixed point theorems and applications
Pata, Vittorino.

Fixed point theorems and applications[electronic resource] /by Vittorino Pata. - Cham :Springer International Publishing :2019. - xvii, 171 p. :ill., digital ;24 cm. - Unitext,v.1162038-5722 ;. - Unitext ;v.87..

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.

ISBN: 9783030196707$q(electronic bk.)

Standard No.: 10.1007/978-3-030-19670-7doiSubjects--Topical Terms:

206244
Fixed point theory.

LC Class. No.: QA329.9 / .P37 2019

Dewey Class. No.: 515.7248

Fixed point theorems and applications
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245 1 0 $a Fixed point theorems and applications $h [electronic resource] / $c by Vittorino Pata.
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520 $a 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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