An application of a new coupled fixed point theorem on nonlinear integro-differential equations

Antony Santhi

doi:10.26637/MJM0801/0042

Abstract

In this paper, we define the concept of the diameter for an orbit at a point, with respect to a context, which is entirely different from the one available in the literature. As a sequel, we prove the existence of a coupled fixed point for a mapping defined on a b-metric space, using a Meir-Keeler type of contractive condition. Finally, we give an application to prove the significance of the theory developed.

Keywords:

Diameter, Coupled fixed point, Complete b-metric space, Integro-differential equation.

Mathematics Subject Classification:

Mathematics

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Antony Santhi School of Mathematics, Madurai Kamaraj University, Madurai- 625 021,Tamil Nadu, India.

Pages: 248-253
Date Published: 01-01-2020
Vol. 8 No. 01 (2020): Malaya Journal of Matematik (MJM)

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