A Common Fixed Point Theorem for Generalised F -Kannan Mapping in Metric Space with Applications

Author:

Wangwe Lucas1ORCID,Kumar Santosh1ORCID

Affiliation:

1. Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania

Abstract

This paper is aimed at proving a common fixed point theorem for F -Kannan mappings in metric spaces with an application to integral equations. The main result of the paper will extend and generalise the recent existing fixed point results in the literature. We also provided illustrative examples and some applications to integral equation, nonlinear fractional differential equation, and ordinary differential equation for damped forced oscillations to support the results.

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Reference49 articles.

1. Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales

2. Some results on fixed points;R. Kannan;Bulletin of the Calcutta Mathematical Society,1968

3. Properties of fixed point spaces

4. Completeness and fixed-points

5. A fixed point theorem of Banach-Caccippoli type on a class of generalised metric spaces;A. Branciari;Universitatis Debreceniensis,2000

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