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

نویسندگان
Mebawondu, Akindele Adebayo ID 1
Mebawondu, Iyanu Sunday ID 2

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

2 Lagos State University, Ojo Campus, Lagos, Nigeria

doi
10.22075/ijnaa.2020.15983.1837
چکیده

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.

کلیدواژه‌ها
$(\psi, \phi)$-Suzuki-type mapping, Fixed point, $(\psi, \phi)$-Jungck-Suzuki mapping, Coincidence point, metric space