LAUSR

In this paper we prove a couple of coupled hybrid fixed point theorems involving the sum and the product of three coupled operators in a partially ordered Banach algebra and derive two applicable fixed point corollaries on the lines of Dhage (Math Stud 61:81–88, 1992, Panam Math J 9(4):93–102, 1999). An application of our new abstract coupled fixed point result is given to nonlinear coupled hybrid quadratic integral equations on a unbounded interval of real line for proving the existence, approximation and attractivity of the coupled solutions under certain mixed partial Lipschitz and partial compactness type hybrid conditions. The obtained abstract existence and attractivity results of the coupled quadratic integral equations are also illustrated by furnishing a numerical example.