Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces
- Authors: Luambano S.1, Kumar S.2, Kakiko G.2
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Affiliations:
- Department of Mathematics, College of Natural and Mathematical Sciences
- Department of Mathematics, College of Natural and Applied Sciences
- Issue: Vol 40, No 2 (2019)
- Pages: 183-188
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203921
- DOI: https://doi.org/10.1134/S1995080219020094
- ID: 203921
Cite item
Abstract
The purpose of this paper is to establish a fixed point theorem for F-contraction mappings in partial metric spaces. Also, as a consequence, a fixed point theorem for a pair of F-contraction mappings having a unique common fixed point is obtained. In particular, the main results in this paper generalize and extend a fixed point theorem due to Wardowski 2012 in which F-contraction was introduced as a generalization of Banach Contraction Principle. An illustrative example is provided to validate the results.
About the authors
S. Luambano
Department of Mathematics, College of Natural and Mathematical Sciences
Author for correspondence.
Email: sholawilgis@gmail.com
Tanzania, United Republic of, Dodoma
S. Kumar
Department of Mathematics, College of Natural and Applied Sciences
Author for correspondence.
Email: drsengar2002@gmail.com
Tanzania, United Republic of, Dar es Salaam
G. Kakiko
Department of Mathematics, College of Natural and Applied Sciences
Author for correspondence.
Email: gkakiko@yahoo.co.uk
Tanzania, United Republic of, Dar es Salaam