Contraction principle in bicomplex valued $G$-metric spaces and its application in the system of linear equations

Krishna Bhattacharjee; RAKHAL DAS; Binod  Chandra Tripathy; Bipan  Hazarika

doi:10.5269/bspm.76188

Krishna Bhattacharjee
RAKHAL DAS Tripura University, Agartala
Binod Chandra Tripathy
Bipan Hazarika

Abstract

In this paper, we established bicomplex valued $G$-metric spaces and introduced the notion of $G$-Banach Contraction mapping, $G$-Kannan mapping, $G$-Bianchini Contraction mapping and prove fixed point theorems in such spaces. We also provide some non-trivial examples and applications of this theory part to demonstrate the validity of our proven results.

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