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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 70 | Issue 11 | Year 2024 | Article Id. IJMTT-V70I11P108 | DOI : https://doi.org/10.14445/22315373/IJMTT-V70I11P108

Fixed Point Theorems On 5- Dimensional Ball Metric Spaces


Shyam Sunder Prasad Singh
Received Revised Accepted Published
03 Oct 2024 06 Nov 2024 20 Nov 2024 30 Nov 2024
Abstract

The paper introduces the 5-dimensional ball metric space, an advanced extension of metric spaces, b-metric spaces, S-metric spaces, and B4-metric spaces. It develops unique fixed-point theorems for self-mappings on complete 5-dimensional ball metric spaces under specific contractive conditions, accompanied by illustrative applications and examples where applicable. 

Keywords

5-dimensional ball metric spaces, B4-metric spaces, Fixed-point theorems and S-metric spaces. 

References

[1] K. K. M. Sarma, Ch. Srinivasa Rao, S. Ravi Kumar “B4-Metric Spaces and Contractions,” International Journal of Engineering Research and Applications, vol. 13, no. 1, pp. 43-50, 2023.
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[2] Ch. Srinivasa Rao, S. Ravi Kumar, and K. K. M. Sarma “Fixed Point Theorems on 4- Dimensional Ball Metric Spaces and Their Applications,” Journal of Applied Science and Engineering, vol. 27, no. 11, pp. 3583-3588, 2024.
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[3] Shaban Sedghi, Nabi Shobe, and Abdelkrim Aliouche, “A Generalization of Fixed Point Theorems In S- Metric Spaces,” Mathematical Journal, vol. 64, no. 3, pp. 258-266, 2012.
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[4] Olusola Kayode Adewale, and Christiana IIuno, “Fixed Point Theorems on Rectangular S- Metric Spaces,” Scientific African, vol. 16, 2022.
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[CrossRef] [Google Scholar] [Publisher Link]

Citation :

Shyam Sunder Prasad Singh, "Fixed Point Theorems On 5- Dimensional Ball Metric Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 70, no. 11, pp. 51-55, 2024. Crossref, https://doi.org/10.14445/22315373/IJMTT-V70I11P108

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