Some Common Fixed Point Theorems with Converse Commuting Mappings  in Bicomplex-­valued Probabilistic Metric Space

한국수학교육학회지시리즈B:순수및응용수학 / 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 (독립연구자)
Chinmay Biswas (Nabadwip Vidyasagar College)

Sarmila, B. , Tanmay, B. , & Chinmay, B. (2024). . 한국수학교육학회지시리즈B:순수및응용수학, 31(3), 299-310, https://doi.org/10.7468/jksmeb.2024.31.3.299

복사

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.

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논문 상세

Vol.31 No.3

Some Common Fixed Point Theorems with Converse Commuting Mappings in Bicomplex-­valued Probabilistic Metric Space

Abstract

한국수학교육학회지시리즈B:순수및응용수학

Some Common Fixed Point Theorems with Converse Commuting Mappings in Bicomplex-valued Probabilistic Metric Space