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Coupled fixed point theorems for a map satisfying mixed monotone property and a nonlinear, rational type contractive condition are established in a partially ordered G-metric space. The conditions for uniqueness of the coupled fixed point are discussed. We also present results for the existence of coupled coincidence points of two maps

journal of mathematics

Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially Ordered<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mi>G</mml:mi></mml:mrow></mml:math>-Metric Space

Coupled Fixed Point Theorems with Rational Type Contractive Condition in a Partially OrderedG-Metric Space