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Fixed Point Theory in Metric Type Spaces de Ravi P. Agarwal

Fixed Point Theory in Metric Type Spaces

Autor Ravi P. Agarwal, Erdal KARAPINAR, Donal O’Regan, Antonio Francisco Roldán-López-de-Hierro
en Limba Engleză Hardback – 4 apr 2016
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.
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Specificații

ISBN-13: 9783319240800
ISBN-10: 3319240803
Pagini: 385
Ilustrații: XVII, 385 p.
Dimensiuni: 155 x 235 x 27 mm
Greutate: 0.74 kg
Ediția:1st ed. 2015
Editura: Springer International Publishing
Colecția Springer
Locul publicării:Cham, Switzerland

Public țintă

Research

Cuprins

Introduction with a Brief Historical Survey.- Preliminaries.- G-Metric Spaces.- Basic Fixed Point Results in the Setting of G-Metric Spaces.- Fixed Point Theorems in Partially Ordered G-Metric Spaces.- Further Fixed Point Results on G-Metric Spaces.- Fixed Point Theorems via Admissible Mappings.- New Approaches to Fixed Point Results on G-Metric Spaces.- Expansive Mappings.- Reconstruction of G-Metrics: G*-Metrics.- Multidimensional Fixed Point Theorems on G-Metric Spaces.- Recent Motivating Fixed Point Theory.

Recenzii

“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)

Notă biografică

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

Textul de pe ultima copertă

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.

Caracteristici

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