International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

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International Journal of Nonlinear Analysis and Applications
Volume 12, Issue 1
May 2021
Pages 963-978
  • Receive Date: 18 September 2018
  • Accept Date: 28 September 2020