Fixed point theorems based on well-posedness and periodic point property in ordered bicomplex valued metric spaces

Md Nazimul Islam 1 *

doi:10.26637/MJM0901/0002

Fixed point theorems based on well-posedness and periodic point property in ordered bicomplex valued metric spaces

Authors :

Md Nazimul Islam ^{1 *}

Author Address :

¹ Department of Mathematics, Nai Mouza High School, West Bengal-732206, India.

*Corresponding author.

Abstract :

In this paper, we aim to establish and prove several results on common fixed point for pair of mappings satisfying more general contraction conditions portrayed by rational expressions in bicomplex valued metric spaces. Also, we introduced well-posedness and periodic point property of mappings satisfying a rational inequality in ordered bicomplex valued metric spaces.

Keywords :

Bicomplex number, Bicomplex valued metric space, Weakly increasing mappings, Well-posedness, Periodic point, Common fixed point.

DOI :

10.26637/MJM0901/0002

Article Info :

Received : October 13, 2020; Accepted : November 21, 2020.