On $\mathcal{L}$-simulation mappings in partial metric spaces

Hassen Aydi; M. A. Barakat; Erdal Karapinar; Zoran D. Mitrović; Tawseef Rashid; Hassen Aydi; M. A. Barakat; Erdal Karapinar; Zoran D. Mitrović; Tawseef Rashid

doi:10.3934/math.2019.4.1034

AIMS Mathematics

2019, Volume 4, Issue 4: 1034-1045. doi: 10.3934/math.2019.4.1034

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Research article

On $\mathcal{L}$-simulation mappings in partial metric spaces

1.
Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication, H. Sousse 4000, Tunisia
2.
Department of Medical Research, China Medical University Hospital, China Medical University, 40402, Taichung, Taiwan
3.
Department of Mathematics, Faculty of Sciences, Al-Azhar University, Assiut 71524, Egypt
4.
Department of Mathematics, College of Al Wajh, University of Tabuk, Saudi Arabia
5.
University of Banja Luka, Faculty of Electrical Engineering, 78 000 Banja Luka, Bosnia and Herzegovina
6.
Department of Mathematics, Aligarh Muslim University, 202002, Aligarh, India

Received: 27 April 2019 Accepted: 23 July 2019 Published: 02 August 2019
MSC : 47H10, 54H25, 46J10

The class of L-contractive mappings was introduced by Cho ^[12]. In this paper, we provide some fixed point results for such mappings via a control function introduced by Jleli and Samet ^[14] in the class of partial metric spaces. Some illustrating examples are given.
- partial metric space,
- fixed point,
- $\mathcal{L}$-simulation,
- $\theta$-function
Citation: Hassen Aydi, M. A. Barakat, Erdal Karapinar, Zoran D. Mitrović, Tawseef Rashid. On $\mathcal{L}$-simulation mappings in partial metric spaces[J]. AIMS Mathematics, 2019, 4(4): 1034-1045. doi: 10.3934/math.2019.4.1034

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Abstract

The class of L-contractive mappings was introduced by Cho ^[12]. In this paper, we provide some fixed point results for such mappings via a control function introduced by Jleli and Samet ^[14] in the class of partial metric spaces. Some illustrating examples are given.

References

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