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

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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 pointCommon fixed point, AMS Subject Classification

Mathematics Subject Classification:

Mathematics
  • Md Nazimul Islam Department of Mathematics, Nai Mouza High School, West Bengal-732206, India.
  • Pages: 9-19
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

Md Nazimul Islam. “Fixed Point Theorems Based on Well-Posedness and Periodic Point Property in Ordered Bicomplex Valued Metric Spaces”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 9-19, https://www.malayajournal.org/index.php/mjm/article/view/956.