Abstract:
In this paper, we introduce a new class of mappings called the (ψ, φ)-Suzuki-type mapping and (ψ, φ)-
Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence
results for (ψ, φ)-Suzuki-type mapping and (ψ, φ)-Jungck-Suzuki contraction mappings in the frame
work of complete metric spaces. Furthermore, we applied our results to the existence and uniqueness
of solutions of a differential equation. Our results improve, extend and generalize some known results
in the literature.
