Abstract
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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
