Generalized Suzuki $(\psi,\phi)$-contraction in complete metric spaces

Document Type : Research Paper


1 University of KwaZulu-Natal, Durban, South Africa. School of Mathematics, Statistics and Computer Sciences.

2 Mathematics, Lagos State University


In this paper, we introduce the concept of $(\psi, \phi)$-Suzuki and $(\psi, \phi)$-Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for $(\psi, \phi)$-Suzuki and $(\psi, \phi)$-Jungck-Suzuki contraction mappings in the frame work of complete metric spaces. As an application, we apply our result to find the existence and uniqueness of solutions of a differential equation.