Coupled fixed point results for (ψ, φ)-weakly contractive mappings in ordered G-metric spaces

In this paper, we establish coupled coincidence and common coupled fixed point theorems for (@j,@f)-weakly contractive mappings in ordered G-metric spaces. Presented theorems extend, generalize and improve many existing results in the literature. An example is given.

[1]  Hemant Kumar Nashine,et al.  Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces , 2011, Math. Comput. Model..

[2]  V. Lakshmikantham,et al.  Coupled Random Fixed Point Theorems for Nonlinear Contractions in Partially Ordered Metric Spaces , 2009 .

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

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

[5]  Stojan Radenovic,et al.  Common coupled fixed point theorems in cone metric spaces for w-compatible mappings , 2010, Appl. Math. Comput..

[6]  Qingnian Zhang,et al.  Fixed point theory for generalized'-weak contractions , 2009 .

[7]  Ishak Altun,et al.  Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Metric Spaces , 2011 .

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

[9]  J. Harjani,et al.  Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations , 2010 .

[10]  Ismat Beg,et al.  Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces , 2009 .

[11]  Ravi P. Agarwal,et al.  Generalized contractions in partially ordered metric spaces , 2008 .

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

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

[14]  Vasile Berinde,et al.  Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces , 2011, 1103.5285.

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

[16]  Hemant Kumar Nashine,et al.  Fixed point results for contractions involving generalized altering distances in ordered metric spaces , 2011 .

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

[18]  Wasfi A. Shatanawi,et al.  On (Psi, Phi)-weakly contractive condition in partially ordered metric spaces , 2011, Comput. Math. Appl..

[19]  Ishak Altun,et al.  Some Fixed Point Theorems on Ordered Metric Spaces and Application , 2010 .

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

[21]  Hemant Kumar Nashine,et al.  Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces , 2011, Comput. Math. Appl..

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

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

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

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

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

[27]  Hassen Aydi,et al.  Coincidence and common fixed point results in partially ordered cone metric spaces and applications , 2011 .

[28]  Wasfi A. Shatanawi,et al.  Partially ordered cone metric spaces and coupled fixed point results , 2010, Comput. Math. Appl..

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

[30]  V. Lakshmikantham,et al.  Fixed point theorems in partially ordered metric spaces and applications , 2006 .

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

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

[33]  W. Shatanawi,et al.  Coupled Fixed Point Theorems in Generalized Metric Spaces ABSTRACT | FULL TEXT , 2011 .

[34]  Fengquan Li,et al.  Limit behaviour of optimal control problems governed by parabolic boundary value problems with equivalued surface , 2008 .

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

[36]  Binayak S. Choudhury,et al.  A coupled coincidence point result in partially ordered metric spaces for compatible mappings , 2010 .

[37]  Wasfi A. Shatanawi,et al.  Fixed point theorems for nonlinear weakly c-contractive mappings in metric spaces , 2011, Math. Comput. Model..

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

[39]  Mujahid Abbas,et al.  Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition , 2006 .

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

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

[42]  Juan J. Nieto,et al.  Existence and Uniqueness of Fixed Point in Partially Ordered Sets and Applications to Ordinary Differential Equations , 2007 .

[43]  Wasfi Shatanawi Some Common Coupled Fixed Point Results in Cone Metric Spaces , 2010 .

[44]  Mujahid Abbas,et al.  Common fixed points of almost generalized contractive mappings in ordered metric spaces , 2011, Appl. Math. Comput..

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

[46]  Bessem Samet,et al.  Coupled fixed point theorems for a generalized Meir–Keeler contraction in partially ordered metric spaces , 2010 .

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

[48]  Donal O'Regan,et al.  Fixed point theorems for generalized contractions in ordered metric spaces , 2008 .

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

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

[51]  V. Lakshmikantham,et al.  Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces , 2009 .