Fixed Point Theorem for F-contraction Mappings, in Partial Metric Spaces
- Авторы: Luambano S.1, Kumar S.2, Kakiko G.2
-
Учреждения:
- Department of Mathematics, College of Natural and Mathematical Sciences
- Department of Mathematics, College of Natural and Applied Sciences
- Выпуск: Том 40, № 2 (2019)
- Страницы: 183-188
- Раздел: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/203921
- DOI: https://doi.org/10.1134/S1995080219020094
- ID: 203921
Цитировать
Аннотация
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.
Ключевые слова
Об авторах
S. Luambano
Department of Mathematics, College of Natural and Mathematical Sciences
Автор, ответственный за переписку.
Email: sholawilgis@gmail.com
Танзания, Dodoma
S. Kumar
Department of Mathematics, College of Natural and Applied Sciences
Автор, ответственный за переписку.
Email: drsengar2002@gmail.com
Танзания, Dar es Salaam
G. Kakiko
Department of Mathematics, College of Natural and Applied Sciences
Автор, ответственный за переписку.
Email: gkakiko@yahoo.co.uk
Танзания, Dar es Salaam
![](/img/style/loading.gif)