Descript 
1 online resource (xvii, 385 pages) : illustrations, digital ; 24 cm 

text txt rdacontent 

computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
Note 
Introduction with a Brief Historical Survey  Preliminaries  GMetric Spaces  Basic Fixed Point Results in the Setting of GMetric Spaces  Fixed Point Theorems in Partially Ordered GMetric Spaces  Further Fixed Point Results on GMetric Spaces  Fixed Point Theorems via Admissible Mappings  New Approaches to Fixed Point Results on GMetric Spaces  Expansive Mappings  Reconstruction of GMetrics: G*Metrics  Multidimensional Fixed Point Theorems on GMetric Spaces  Recent Motivating Fixed Point Theory 

Written by a team of leading experts in the field, this volume presents a selfcontained account of the theory, techniques and results in metric type spaces (in particular in Gmetric 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 Gmetric spaces) and on mappings, to Banach type contraction theorems in metric type spaces, fixed point theory in partially ordered Gmetric 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 
Host Item 
Springer eBooks

Subject 
Fixed point theory


Mathematics


Numerical Analysis


Real Functions


Functional Analysis

Alt Author 
Karapınar, Erdal, author


O'Regan, Donal, author


RoldanLopezdeHierro, Antonio Francisco, author


SpringerLink (Online service)

