Title of article :
Generalized Suzuki (ψ,ϕ)-contraction in complete metric spaces
Author/Authors :
Mebawondu, A. A. School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa. , Mebawondu, S. I. Lagos State University - Ojo Campus, Lagos, Nigeria
Abstract :
In this paper, we introduce the concept of (ψ,ϕ)-Suzuki and (ψ,ϕ)-Jungck-Suzuki contraction type mappings and we establish the existence, uniqueness and coincidence results for (ψ,ϕ)-Suzuki and (ψ,ϕ)-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 :
(ψ,ϕ)-Suzuki-type mapping , fixed point , (ψ,ϕ)-Jungck-Suzuki mapping , coincidence point , metric space
Journal title :
International Journal of Nonlinear Analysis and Applications
