Exploring fixed points in b-metric spaces using weakly contractive mappings
J. Balamuruganbalamurj@srmist.edu.inDepartment of MathematicsFaculty of Engineering and TechnologyVadapalani Campus, No. 1 Jawaharlal Nehru Salai, VadapalaniSRM Institute of Science and TechnologyChennai, Tamil Nadu, 600026, IndiaView full profile → , *C. RajeshCorresponding authorrajeshc@srmist.edu.inDepartment of MathematicsFaculty of Engineering and TechnologyVadapalani Campus, No. 1 Jawaharlal Nehru Salai, VadapalaniSRM Institute of Science and TechnologyChennai, Tamil Nadu, 600026, India0000-0002-6872-5644View full profile →
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- Received:
- 10 Dec 2024
- Published Online:
- 28 Aug 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2141
- Pages:
- 1847–1857
Abstract
Keywords
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References
[1] S. Banach, ”Sur les operations dans les ensembles abstraits et leur applications integrales,” Fundamenta Mathematicae, vol. 3, no. 1, pp. 133–181 (1922).
[2] M.S. Khan, M. Swaleh and S. Sessa, ”Fixed point theorems by altering distances between the points,” Bulletin of the Australian Mathematical Society, vol. 30, no. 1, pp. 1–9 (1984).
[3] H. Piri, S. Rahrovi and A. Zarghami, ”Some fixed point theorems on generalized asymmetric metric spaces,” Asian-European Journal of Mathematics, vol. 14, no. 7, Art. no. 2150109 (2021).
[4] M. Jleli and B. Samet, ”On a new generalization of metric spaces,” Journal of Fixed Point Theory and Applications, vol. 20, no. 128 (2018).
[5] D. Ricinschi, ”Convex contractions on extended b− metric spaces,” AIMS Mathematics, vol. 9, no. 7, pp. 18163–18185 (2024).
[6] Pragati Gautam, Vishnu Narayan Mishra, Rifaqat Ali and Swapnil Verma, ”Interpolative Chatterjea and cyclic Chatterjea contraction on quasi-partial b− metric space,” AIMS Mathematics, vol. 6, no. 2, pp. 1727–1742 (2021).
[7] Yan Han, Shaoyuan Xu, Jin Chen and Huijuan Yang, ”Fixed point theorems for b−generalized contractive mappings with weak continuity conditions,” AIMS Mathematics, vol. 9, no. 6, pp. 15024–15039 (2024).
[8] A. A. N. Abdou, ”Chatterjea type theorems for complex valued extended b− metric spaces with applications,” AIMS Mathematics, vol. 8, no. 8, pp. 19142–19160 (2023).
[9] R. Kannan, ”Some results on fixed points-II,” The American Mathematical Monthly, vol. 76, no. 4, pp. 405–408 (1969).
[10] A. Kari, M. Rossafi, E. Marhrani and M. Aamri, ”Fixed-point theorem for nonlinear F-contraction via wdistance,” Advances in Mathematical Physics, Article ID 6617517 (2020).
[11] A. Kari, M. Rossafi, E. Marhrani and M.Aamri, ”Fixed-point theorems for θ − ϕ-contraction in generalized asymmetric metric spaces,” International Journal of Mathematics and Mathematical Sciences, Article ID 8867020 (2020).
[12] H. Piri and P. Kumam, ”Some fixed point theorems concerning Fcontraction in complete metric spaces,” Fixed Point Theory and Applications, Paper No. 210 (2014).
[13] A. M. Aminpour, S. Khorshidvandpour and M. Mousavi, ”Some results in asymmetric metric spaces,” Mathematics Eterna, vol. 2, no. 6, pp. 533–540 (2012).
[14] W. A. Kirk and N. Shahzad, ”Generalized metrics and Caristi’s theorem,” Fixed Point Theory and Applications, vol. 2013, no. 1, Article ID 129 (2013).
