On certain coupled fixed point theorems via C-class functions in Sb-metric spaces with applications.

In this study, the concept of C-class functions in the setup of S_b-metric spaces, and some common coupled fixed point theorems for these mappings in complete S_b-metric spaces that involve altering distance functions and ultra altering distance functions are established. A few instances are given to support our major findings. We also provided an application for integral equations as well as Homotopy. [ABSTRACT FROM AUTHOR]