Title of article
On some fixed point results for (α,β)-Berinde-φ-Contraction mapppings with applications
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
Pages
16
From page
363
To page
378
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
Journal title
International Journal of Nonlinear Analysis and Applications
Serial Year
2020
Record number
2606481
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