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Fixed Point Theory in Metric Type Spaces

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...

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Main Authors: Agarwal, Ravi P. (Author, http://id.loc.gov/vocabulary/relators/aut), KARAPINAR, Erdal. (http://id.loc.gov/vocabulary/relators/aut), O’Regan, Donal. (http://id.loc.gov/vocabulary/relators/aut), Roldán-López-de-Hierro, Antonio Francisco. (http://id.loc.gov/vocabulary/relators/aut)
Corporate Author: SpringerLink (Online service)
Language:English
Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edition:1st ed. 2015.
Subjects:
Numerical analysis.
Functions of real variables.
Functional analysis.
Numerical Analysis.
Real Functions.
Functional Analysis.
Online Access:https://doi.org/10.1007/978-3-319-24082-4
Table of Contents:
  • 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.

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