Coupled common fixed point results in two generalized metric spaces

In this paper, study of necessary conditions for the existence of unique coupled common fixed point of contractive type mappings in the context of two generalized metric spaces is initiated. These results generalize several comparable results from the current literature. We also provide illustrative examples in support of our new results.

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

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

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

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

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

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

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

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

[9]  Stojan Radenovic,et al.  Author's Personal Copy Applied Mathematics Letters a Note on the Equivalence of Some Metric and Cone Metric Fixed Point Results , 2022 .

[10]  H. P. Masiha,et al.  Some Coupled Fixed Point Theorems in Cone Metric Spaces , 2009 .

[11]  Stojan Radenovic,et al.  Some periodic point results in generalized metric spaces , 2010, Appl. Math. Comput..

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

[13]  Wasfi Shatanawi,et al.  Fixed Point Theorem for Expansive Mappings in G-Metric Spaces , 2010 .

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

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

[16]  Abdul Rahim Khan,et al.  Coincidences of Lipschitz-Type Hybrid Maps and Invariant Approximation , 2007 .

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