Stability Theorem and Results for Quadrupled Fixed Point of Contractive Type Single Valued Operators

Subject Areas : Operation Research

Samuel Aniki ^{1 *} , Kamilu Rauf ²

1 - Department of Mathematics, Faculty of Science, Confluence University of Science and Technology, Osara, Kogi State, Nigeria
2 - Department of Mathematics, Faculty of Physical Sciences, University of Ilorin, Ilorin, Nigeria

Received: 2021-03-03 Accepted : 2021-05-29 Published : 2020-12-01

Keywords: Stability, Quadrupled fixed point, Metric space, single-valued operator, vector-valued matrices,

Abstract :

This paper present the existence and uniqueness of quadrupled fixed point theorems, whose method is quite primarily based definitely on Perov-type fixed point theorem for contraction in metric spaces equipped with vector-valued matrices. Furthermore, the study consist of Ulam-Hyers stability results for quadrupled fixed points of contractive type single valued mappings on complete metric spaces will be obtained.