Best proximity point results for Prešić type nonself operators in $ b $-metric spaces

Samina Batul; Dur-e-Shehwar Sagheer; Hassen Aydi; Aiman Mukheimer; Suhad Subhi Aiadi; Samina Batul; Dur-e-Shehwar Sagheer; Hassen Aydi; Aiman Mukheimer; Suhad Subhi Aiadi

doi:10.3934/math.2022598

AIMS Mathematics

2022, Volume 7, Issue 6: 10711-10730. doi: 10.3934/math.2022598

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Research article

Best proximity point results for Prešić type nonself operators in $ b $-metric spaces

1.
Department of Mathematics, Capital University of Science and Technology, Islamabad, Pakistan
2.
Institut Supérieur d'Informatique et des Techniques de Communication, Université de Sousse, H. Sousse, Tunisia
3.
China Medical University Hospital, China Medical University, Taichung 40402, Taiwan
4.
Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, South Africa
5.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia

Received: 22 December 2021 Revised: 11 March 2022 Accepted: 21 March 2022 Published: 31 March 2022
MSC : 46S40, 47H10, 54H25

The present work is about the existence of best proximity points for Prešić type nonself operators in $ b $-metric spaces. In order to elaborate the results an example is presented. Moreover, some interesting formulations of Prešić fixed point results are also established. In addition a result in double controlled metric type space is also formulated.
- $ b $-metric space,
- Best proximity point,
- equilibrium point,
- Prešić operator,
- double controlled metric type space
Citation: Samina Batul, Dur-e-Shehwar Sagheer, Hassen Aydi, Aiman Mukheimer, Suhad Subhi Aiadi. Best proximity point results for Prešić type nonself operators in $ b $-metric spaces[J]. AIMS Mathematics, 2022, 7(6): 10711-10730. doi: 10.3934/math.2022598

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Abstract

The present work is about the existence of best proximity points for Prešić type nonself operators in $ b $-metric spaces. In order to elaborate the results an example is presented. Moreover, some interesting formulations of Prešić fixed point results are also established. In addition a result in double controlled metric type space is also formulated.

References

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