Fixed point theorems in controlled $ J- $metric spaces

Suhad Subhi Aiadi; Wan Ainun Mior Othman; Kok Bin Wong; Nabil Mlaiki; Suhad Subhi Aiadi; Wan Ainun Mior Othman; Kok Bin Wong; Nabil Mlaiki

doi:10.3934/math.2023235

AIMS Mathematics

2023, Volume 8, Issue 2: 4753-4763. doi: 10.3934/math.2023235

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Fixed point theorems in controlled $ J- $metric spaces

1.
Department of Mathematics and Sciences, Prince Sultan University, Riyadh 11586, Saudi Arabia
2.
Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, Kuala Lumpur, Malaysia

Received: 12 October 2022 Revised: 25 November 2022 Accepted: 02 December 2022 Published: 08 December 2022
MSC : 46T99, 47H10, 54H25

In this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results.
- fixed point,
- $ C_{J}- $metric space,
- $ J- $metric spaces
Citation: Suhad Subhi Aiadi, Wan Ainun Mior Othman, Kok Bin Wong, Nabil Mlaiki. Fixed point theorems in controlled $ J- $metric spaces[J]. AIMS Mathematics, 2023, 8(2): 4753-4763. doi: 10.3934/math.2023235

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Abstract

In this article, we introduce a new extension to $ J- $metric spaces, called $ C_{J}- $metric spaces, where $ \theta $ is the controlled function in the triangle inequality. We prove some fixed point results in this new type of metric space. In addition, we present some applications to systems of linear equations to illustrate our results.

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