Fixed Point Theorem for Banach Contraction Mapping in Perturbed Multiplicative Metric Space
Abstract
The notion of perturbed metric space appeared in [1], whilst the notion of multiplicative metric space appeared in [2]. In this paper, we combine both notions to introduce perturbed multiplicative metric space. We obtain the Banach fixed point theorem in this new space with an illustrative example.
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References
Jleli, M., & Samet, B. (2025). On Banach's fixed point theorem in perturbed metric space. Journal of Applied Analysis and Computation, 15 (2), 993-1001. https://doi.org/10.11948/20240242
Bashirov, A. E., Kurpinar, E. M., & Ozyapici, A. (2008). Multiplicative calculus and its applications. Journal of Mathematical Analysis and Applications, 337(1), 36-48. https://doi.org/10.1016/j.jmaa.2007.03.081
Ozavsar, M., & Cevikel, A. C. (2012). Fixed points of multiplicative contraction mappings on multiplicative metric spaces [Preprint]. arXiv:1205.5131. https://arxiv.org/abs/1205.5131
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