Existence of fixed point results in orthogonal extended b-metric spaces with application

Khalil Javed; Muhammad Naeem; Fahim Ud Din; Muhammad Rashid Aziz; Thabet Abdeljawad; Khalil Javed; Muhammad Naeem; Fahim Ud Din; Muhammad Rashid Aziz; Thabet Abdeljawad

doi:10.3934/math.2022349

AIMS Mathematics

2022, Volume 7, Issue 4: 6282-6293. doi: 10.3934/math.2022349

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Existence of fixed point results in orthogonal extended b-metric spaces with application

1.
Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan
2.
Abdus Salam School of Mathematical Sciences, Lahore, Pakistan
3.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh-11586, Saudi Arabia
4.
Department of Medical Research, China Medical University, Taichung-40402, Taiwan

Received: 08 September 2021 Revised: 03 January 2022 Accepted: 11 January 2022 Published: 19 January 2022
MSC : 47H10, 54H25

In this paper, we investigate the conditions for the existence of fixed-point for generalized contractions in the orthogonal extended b-metric spaces endowed with an arbitrary binary relation. We establish some unique fixed-point theorems. The obtained results generalize and improve many earlier fixed point results. We also provide some nontrivial examples to corroborate our results. As an application, we investigate solution for the system of boundary value problem.
- extended b-metric,
- orthogonal metric,
- fixed point,
- unique fixed point
Citation: Khalil Javed, Muhammad Naeem, Fahim Ud Din, Muhammad Rashid Aziz, Thabet Abdeljawad. Existence of fixed point results in orthogonal extended b-metric spaces with application[J]. AIMS Mathematics, 2022, 7(4): 6282-6293. doi: 10.3934/math.2022349

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Abstract

In this paper, we investigate the conditions for the existence of fixed-point for generalized contractions in the orthogonal extended b-metric spaces endowed with an arbitrary binary relation. We establish some unique fixed-point theorems. The obtained results generalize and improve many earlier fixed point results. We also provide some nontrivial examples to corroborate our results. As an application, we investigate solution for the system of boundary value problem.

References

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