In this paper, we establish the existence and uniqueness of common fixed point theorem for self mappings satisfying contractive condition of integral type via the concept of C-class functions in complete metric spaces. Further, we furnish an example to validate our result. Our result improves various results in the current literature. Towards the end, the existence and uniqueness of common solutions for system of functional equations arising in dynamic programming are discussed as an application of our main result.

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings with respect to simulation function in complete metric space. An illustrative example is furnished to validate our main result. Our result extends the result of M. S. Khan et al. [15]. As an application, we provide the existence of a solution for a nonlinear Fredholm integral equations.