Document Type : Research Paper

Authors

• Akindele Adebayo Mebawondu ¹
• Iyanu Sunday Mebawondu ²

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

² Lagos State University, Ojo Campus, Lagos, Nigeria

Abstract

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.

Keywords

• $(\psi, \phi)$-Suzuki-type mapping
• fixed point
• $(\psi, \phi)$-Jungck-Suzuki mapping
• coincidence point
• metric space