Computers and Mathematics with Applications ( ) – Computers and Mathematics with Applications on Common Fixed Points in G-metric Spaces Using (e.a) Property

In this paper, we introduce some new types of pairs of mappings (f,g) on G-metric spaces called G-weakly commuting of type G"f and G-R-weakly commuting of type G"f. We obtain also several common fixed point results by using the (E.A) property.

[1]  G. Jungck,et al.  Common fixed points for commuting and compatible maps on compacta , 1988 .

[2]  R. Pant,et al.  Common fixed point theorems for contractive maps , 1998 .

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

[4]  K. M. Das,et al.  Common fixed-point theorems for commuting maps on a metric space , 1979 .

[5]  Wasfi Shatanawi,et al.  Fixed point results on complete G-metric spaces , 2011 .

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

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

[8]  Mujahid Abbas,et al.  Common fixed point results for noncommuting mappings without continuity in generalized metric spaces , 2009, Appl. Math. Comput..

[9]  Hassen Aydi,et al.  Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces , 2012, Comput. Math. Appl..

[10]  S. G. Matthews,et al.  Partial Metric Topology , 1994 .

[11]  G. Jungck,et al.  COMMUTING MAPS AND FIXED POINTS , 1976 .

[12]  Nawab Hussain,et al.  Compatible maps and invariant approximations , 2007 .

[13]  Hassen Aydi,et al.  Coupled fixed point results for (ψ, φ)-weakly contractive condition in ordered partial metric spaces , 2011, Comput. Math. Appl..

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

[15]  G. Jungck Compatible mappings and common fixed points , 1986 .

[16]  S. Banach Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales , 1922 .

[17]  R. Pant Common Fixed Points of Noncommuting Mappings , 1994 .

[18]  H. Aydi,et al.  A FIXED POINT RESULT INVOLVING A GENERALIZED WEAKLY CONTRACTIVE CONDITION IN G-METRIC SPACES (COMMUNICATED BY SIMEON RICH) , 2011 .

[19]  Hassen Aydi Coincidence and Common Fixed Point Results for Contraction Type Maps in Partially Ordered Metric Spaces , 2011 .

[20]  Salvatore Sessa,et al.  ON A WEAK COMMUTATIVITY CONDITION OF MAPPINGS IN FIXED POINT CONSIDERATIONS , 1982 .

[21]  D. El Moutawakil,et al.  Some new common fixed point theorems under strict contractive conditions , 2002 .

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

[23]  Wasfi Shatanawi,et al.  Fixed Point Theory for Contractive Mappings Satisfying -Maps in -Metric Spaces , 2010 .

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

[25]  K. M. Das,et al.  Common fixed point theorems for commuting maps on metric spaces , 1979 .

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

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

[28]  G. Jungck,et al.  COMMON FIXED POINTS FOR NONCONTINUOUS NONSELF MAPS ON NONMETRIC SPACES , 1996 .

[29]  G. Jungck,et al.  Commuting Mappings and Fixed Points , 1976 .