Fixed Point Theorems and Applications
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 ex
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Vittorino Pata
Fixed Point Theorems and Applications
UNITEXT - La Matematica per il 3+2 Volume 116
Editor-in-Chief Alfio Quarteroni, Politecnico di Milano, Milan, Italy; EPFL, Lausanne, Switzerland Series Editors Luigi Ambrosio, Scuola Normale Superiore, Pisa, Italy Paolo Biscari, Politecnico di Milano, Milan, Italy Ciro Ciliberto, Università di Roma “Tor Vergata”, Rome, Italy Camillo De Lellis, Institute for Advanced Study, Princeton, NJ, USA Victor Panaretos, Institute of Mathematics, EPFL, Lausanne, Switzerland Wolfgang J. Runggaldier, Università di Padova, Padova, Italy
The UNITEXT – La Matematica per il 3+2 series is designed for undergraduate and graduate academic courses, and also includes advanced textbooks at a research level. Originally released in Italian, the series now publishes textbooks in English addressed to students in mathematics worldwide. Some of the most successful books in the series have evolved through several editions, adapting to the evolution of teaching curricula.
More information about this series at http://www.springer.com/series/5418
Vittorino Pata
Fixed Point Theorems and Applications
123
Vittorino Pata Dipartimento di Matematica Politecnico di Milano Milan, Italy
ISSN 2038-5722 ISSN 2038-5757 (electronic) UNITEXT - La Matematica per il 3+2 ISBN 978-3-030-19669-1 ISBN 978-3-030-19670-7 (eBook) https://doi.org/10.1007/978-3-030-19670-7 © Springer Nature Switzerland AG 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, expressed or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Cover illustration by Sara Paganelli This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To Adele, Giulia, Michele and Giovanni
Preface
Fixed point theory is a fascinating subject, with a large number of applications in several fields of mathematics. Perhaps because of this crosscutt
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