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ISSN : 1226-0657

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Vol.31 No.3
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Some Common Fixed Point Theorems with Converse Commuting Mappings in Bicomplex-­valued Probabilistic Metric Space

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2024, v.31 no.3, pp.299-310
https://doi.org/10.7468/jksmeb.2024.31.3.299
Sarmila Bhattacharyya (Netaji Mahavidyalaya)
Tanmay Biswas
Chinmay Biswas (Nabadwip Vidyasagar College)
Sarmila, B. , Tanmay, B. , & Chinmay, B. (2024). Some Common Fixed Point Theorems with Converse Commuting Mappings in Bicomplex-­valued Probabilistic Metric Space. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 31(3), 299-310, https://doi.org/10.7468/jksmeb.2024.31.3.299
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Abstract

The probabilistic metric space as one of the important generalizations of metric space, was introduced by Menger [16] in 1942. Later, Choi et al. [6] initiated the notion of bicomplex-valued metric spaces (bi-CVMS). Recently, Bhattacharyya et al. [3] linked the concept of bicomplex-valued metric spaces and menger spaces, and initiated menger space with bicomplex-valued metric. Here, in this paper, we have taken probabilistic metric space with bicomplex-valued metric, i.e., bicomplexvalued probabilistic metric space and proved some common fixed point theorems using converse commuting mappings in this space.

keywords
probabilistic metric spaces, conversely commuting mappings, commuting point, fixed point.

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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