Author/Authors :
Mebawondu, Akindele A. School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Izuchukwu, Chinedu School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Aremu, Kazeem O. School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa , Mewomo, Oluwatosin T. School of Mathematics - Statistics and Computer Science - University of KwaZulu-Natal, Durban, South Africa
Abstract :
The aim of this paper is to introduce a new class of mappings called (α,β)-Berinde-φ-contraction mappings and to establish some fixed point results for this class of mappings in the frame work of metric spaces. Furthermore, we applied our results to the existence of solution of second order differential equations and the existence of a solution for the following nonlinear integral equation:
Keywords :
(alpha,beta)-cyclic admissible mapping , (alpha,beta)-Berinde-varphi-contraction mapping , fixed point , metric space
