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Fixed Point Theory in Metric Type Spaces

Authors: Agarwal, R.P., Karapınar, E., O’Regan, D., Roldan-Lopez-de-Hierro, A.F.

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  • Written by the leading experts in the field of fixed point theory and metric type spaces
  • Presents a self-contained account of the theory, techniques, and results in the rapidly-growing field of metric type spaces, while demonstrating connections to pure and applied mathematics
  • Guides the reader through the preliminary stages with historical notes on metric spaces, before moving to a discussion of Banach type contraction theorems and fixed point theory in metric type spaces, and concluding with generalizations and the latest results
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eBook $109.00
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  • ISBN 978-3-319-24082-4
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Hardcover $139.99
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  • ISBN 978-3-319-24080-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
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  • ISBN 978-3-319-79576-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.
The text is structured so that it leads the reader from preliminaries and historical notes on metric spaces (in particular G-metric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered G-metric spaces, fixed point theory for expansive mappings in metric type spaces, generalizations, present results and techniques in a very general abstract setting and framework.
Fixed point theory is one of the major research areas in nonlinear analysis. This is partly due to the fact that in many real world problems fixed point theory is the basic mathematical tool used to establish the existence of solutions to problems which arise naturally in applications. As a result, fixed point theory is an important area of study in pure and applied mathematics and it is a flourishing area of research.

About the authors

Ravi P. Agarwal
Department of Mathematics
Texas A&M University
Kingsville, Texas
USA

Erdal Karapınar 
Atılım University
Department of Mathematics
Kızılçaşar Köyü
06836 İncek ANKARA
Turkey 

Donal O’Regan 
Department of Mathematics
University of Galway
Galway
Ireland

Antonio F. Roldán-López-de-Hierro
Department of Mathematics
University of Granada
Granada

Reviews

“This book is basically a compendium of various results concerning fixed points of mappings on different metric-type spaces studied by authors in the last few decades. … The book will be useful to anyone who wishes to write a thesis on some aspect of fixed point theory in spaces … .” (S. Swaminathan, Mathematical Reviews, December, 2016)

“This self-contained book provides the first systematic presentation of fixed point theory in G-metric spaces … . Most of the results presented here were obtained by the authors over the last years and have not previously appeared in any other textbook. This book is mainly addressed to graduate students who wish to learn about fixed point theory in metric type spaces and researchers working in nonlinear functional analysis.” (Jarosław Górnicki, zbMATH 1347.54001, 2016)

“The book, including many contributions of its authors, provides an accessible and up-to-date source of information for researchers in fixed point theory in metric spaces and in various of their generalizations, for mappings satisfying some very general conditions.” (S. Cobzaş, Studia Universitatis Babes-Bolyai, Mathematica, Vol. 61 (3), 2016)


Table of contents (12 chapters)

Table of contents (12 chapters)

Buy this book

eBook $109.00
price for USA in USD (gross)
  • ISBN 978-3-319-24082-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $139.99
price for USA in USD
  • ISBN 978-3-319-24080-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $139.99
price for USA in USD
  • ISBN 978-3-319-79576-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Fixed Point Theory in Metric Type Spaces
Authors
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-24082-4
DOI
10.1007/978-3-319-24082-4
Hardcover ISBN
978-3-319-24080-0
Softcover ISBN
978-3-319-79576-8
Edition Number
1
Number of Pages
XVII, 385
Topics