Contraction Principle on Bicomplex Valued Multiplicative Metric Spaces

Abstract

This paper aims to establish a foundation for the concepts of pairwise We introduce bicomplex valued multiplicative metric spaces in this study. We have updated the general background of bicomplex valued metric space and illustrated several well-known fixed point results in our study of complete bicomplex valued multiplicative metric space. Consequently, we have acquired some new findings concerning the complete multiplicative metric spaces of bicomplex values. We looked into fixed points in the bicomplex valued multiplicative metric space using the well-known Cauchy criteria Banach and Kannan contraction. Moreover, we give sufficient requirements for the common fixed point of a pair of contractive mappings in bicomplex valued multiplicative metric spaces. We also present several non-trivial cases to support the accuracy of our established findings.