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We establish the existence and uniqueness of coupled common fixed point for symmetric (φ,ψ)-contractive mappings in the framework of ordered G-metric spaces. Present work extends, generalize, and enrich the recent results of  Choudhury and Maity (2011), Nashine (2012), and Mohiuddine and Alotaibi (2012), thereby, weakening the involved contractive conditions. Our theoretical results are accompanied by suitable examples and an application to integral equations

journal of applied mathematics

A Unique Coupled Common Fixed Point Theorem for Symmetric<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>φ</mml:mi><mml:mo>,</mml:mo><mml:mi>ψ</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Contractive Mappings in Ordered<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-Metric Spaces with Applications

A Unique Coupled Common Fixed Point Theorem for Symmetric(φ,ψ)-Contractive Mappings in OrderedG-Metric Spaces with Applications