Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces

We prove some common fixed point results for four mappings satisfying generalized weak contractive condition in partially ordered complete b-metric spaces. Our results extend and improve several comparable results in the existing literature

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

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

[3]  Mujahid Abbas,et al.  Common fixed point theorem for four mappings satisfying generalized weak contractive condition , 2010 .

[4]  Miloje Rajović,et al.  Monotone Generalized Nonlinear Contractions in Partially Ordered Metric Spaces , 2008 .

[5]  Juan J. Nieto,et al.  Contractive Mapping Theorems in Partially Ordered Sets and Applications to Ordinary Differential Equations , 2005, Order.

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

[7]  Bhagwati Prasad,et al.  Some coincidence theorems and stability of iterative procedures , 2008, Comput. Math. Appl..

[8]  Masood Hussain Shah,et al.  KKM mappings in cone b-metric spaces , 2011, Comput. Math. Appl..

[9]  Renu Chugh,et al.  Property in -Metric Spaces , 2010 .

[10]  M. Boriceanu FIXED POINT THEORY FOR MULTIVALUED GENERALIZED CONTRACTION ON A SET WITH TWO b-METRICS , 2009 .

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

[12]  S. Czerwik,et al.  Nonlinear set-valued contraction mappings in b-metric spaces , 1998 .

[13]  Stojan Radenovic,et al.  Common fixed points of four maps in partially ordered metric spaces , 2011, Appl. Math. Lett..

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

[15]  A. Petruşel,et al.  Multivalued fractals in b-metric spaces , 2010 .

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

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

[18]  B. E. Rhoades,et al.  Fixed point theorems in generalized partially ordered G-metric spaces , 2010, Math. Comput. Model..

[19]  Renu Chugh,et al.  Property P in G-Metric Spaces , 2010 .

[20]  A. Ran,et al.  A fixed point theorem in partially ordered sets and some applications to matrix equations , 2003 .

[21]  Hemant Kumar Nashine,et al.  Fixed point results for mappings satisfying (ψ,φ)-weakly contractive condition in partially ordered metric spaces , 2011 .

[22]  M. Gordji,et al.  A Fixed Point Theorem for Contraction Type Maps in Partially Ordered Metric Spaces and Application to Ordinary Differential Equations , 2012 .

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

[24]  Mohamed A. Khamsi,et al.  Remarks on Cone Metric Spaces and Fixed Point Theorems of Contractive Mappings , 2010 .

[25]  M. Khamsi,et al.  KKM mappings in metric type spaces , 2010 .

[26]  Qingnian Zhang,et al.  Fixed point theory for generalized phi-weak contractions , 2009, Appl. Math. Lett..

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

[28]  Dragan Doric,et al.  Common fixed point for generalized (psi, phi)-weak contractions , 2009, Appl. Math. Lett..

[29]  J. Jachymski,et al.  Equivalent conditions for generalized contractions on (ordered) metric spaces , 2011 .

[30]  B. Rhoades,et al.  Some theorems on weakly contractive maps , 2001 .

[31]  Stojan Radenovic,et al.  Common fixed point results for four mappings satisfying almost generalized (S, T)-contractive condition in partially ordered metric spaces , 2012, Appl. Math. Comput..

[32]  Stojan Radenovic,et al.  Generalized weak contractions in partially ordered metric spaces , 2010, Comput. Math. Appl..