Research Article

Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces

by  Hans Raj, Nawneet Hooda
journal cover
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 86 - Issue 18
Published: January 2014
Authors: Hans Raj, Nawneet Hooda
10.5120/15082-3359
PDF

Hans Raj, Nawneet Hooda . Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces. International Journal of Computer Applications. 86, 18 (January 2014), 1-3. DOI=10.5120/15082-3359

                        @article{ 10.5120/15082-3359,
                        author  = { Hans Raj,Nawneet Hooda },
                        title   = { Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces },
                        journal = { International Journal of Computer Applications },
                        year    = { 2014 },
                        volume  = { 86 },
                        number  = { 18 },
                        pages   = { 1-3 },
                        doi     = { 10.5120/15082-3359 },
                        publisher = { Foundation of Computer Science (FCS), NY, USA }
                        }
                        %0 Journal Article
                        %D 2014
                        %A Hans Raj
                        %A Nawneet Hooda
                        %T Coupled Fixed Point Theorems under Nonlinear Contractive Conditions in G – Metric spaces%T 
                        %J International Journal of Computer Applications
                        %V 86
                        %N 18
                        %P 1-3
                        %R 10.5120/15082-3359
                        %I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this paper is to prove a number of coupled fixed point theorems under '-contractions for a mapping F : X X ! X in G-metric spaces. The given result is conversion of the result of Erdal Karapinar et al. [3] into G-metric space with coupled fixed point theorem.

References
  • T. G. Bhaskar and V. Lakshmikantham. Fixed point theory in partially ordered metric spaces and applications. Nonlinear Anal. , 65.
  • D. W. Boyd and S. W. Wong. On nonlinear contractions. Proc. Am. Math. Soc. , 20.
  • W. Shatanawi Erdal Karapinar and Z. Mustafa. Quadruple fixed point theorems under nonlinear contractive conditions in partially ordered metric spaces. Journal of Applied Mathematics.
  • Z. Mustafa. A new structure for generalized metric spaces with applications to fixed point theory.
  • Z. Mustafa and B. Sims. Fixed point theorems for contractive mappings in complete G-metric spaces. Fixed Point Theory Appl. , 10.
  • Z. Mustafa and B. Sims. A new approach to generalized metric spaces. J. Nonlinear Convex Anal. , 7(2):289–297, 2006.
  • H. Obiedat Z. Mustafa and F. Awawdeh. Some fixed point theorem for mapping on complete metric spaces. Fixed Point Theory Appl. , 12.
Index Terms
Computer Science
Information Sciences
No index terms available.
Keywords

G-metric space Coupled fixed point Mixed monotone property

Powered by PhDFocusTM