Abstract

This paper introduces coupled fixed points of maps in MIFSMS. The notion of compatible maps and weakly compatible maps is also defined. Common coupled fixed point theorem for weakly compatible maps have been proved in the setting of MIFSMS. Moreover, some corollaries and an example is given to validate our new result. Also, to show the usability of our findings, we have applied our new result to get the solution of nonlinear Fredholm integral equation.