A FIXED POINT RESULT INVOLVING A GENERALIZED WEAKLY CONTRACTIVE CONDITION IN G-METRIC SPACES (COMMUNICATED BY SIMEON RICH)

In this paper, we prove a fixed point result for a self-mapping on a G-metric space satisfying (ψ,φ)-weakly contractive conditions. Besides this, a non-trivial example is presented.

[1]  Wasfi A. Shatanawi,et al.  Existence of Fixed Point Results in G-Metric Spaces , 2009, Int. J. Math. Math. Sci..

[2]  Binayak S. Choudhury,et al.  Coupled fixed point results in generalized metric spaces , 2011, Math. Comput. Model..

[3]  Zead Mustafa,et al.  Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces , 2008 .

[4]  W. Shatanawi,et al.  COUPLED FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES , 2011 .

[5]  Zead Mustafa,et al.  A new approach to generalized metric spaces , 2006 .

[6]  Hassen Aydi,et al.  Coupled fixed point theorems for nonlinear contractions in partially ordered G-metric spaces , 2011, Math. Comput. Model..

[7]  W. Shatanawi,et al.  Fixed Point Theory for Contractive Mappings Satisfying Φ-Maps in G-Metric Spaces , 2010 .

[8]  Mujahid Abbas,et al.  Coupled common fixed point results in two generalized metric spaces , 2011, Appl. Math. Comput..

[9]  Binayak S. Choudhury,et al.  A Generalisation of Contraction Principle in Metric Spaces , 2008 .

[10]  J. S. W. Wong,et al.  On nonlinear contractions , 1969 .

[11]  Zead Mustafa,et al.  Fixed Point Theorems for Contractive Mappings in Complete G-Metric Spaces , 2009 .

[12]  M. Abbas,et al.  Common fixed point results for three maps in G-metric spaces , 2011 .

[13]  Ya. I. Alber,et al.  Principle of weakly contractive maps in Hilbert spaces , 1997 .

[14]  Wasfi Shatanawi Some Fixed Point Theorems in Ordered G-Metric Spaces and Applications , 2011 .

[15]  Salvatore Sessa,et al.  Fixed point theorems by altering distances between the points , 1984, Bulletin of the Australian Mathematical Society.

[16]  M. Abbas,et al.  Common coupled coincidence and coupled fixed point results in two generalized metric spaces , 2011 .

[17]  Janusz Matkowski Fixed point theorems for mappings with a contractive iterate at a point , 1977 .