Common fixed point theorems for multi-valued mappings in bicomplex valued metric spaces with application

Abstract

The aim of this article is to introduce a generalized Hausdorff distance function in the setting of a bicomplex valued metric space. Using this, we obtain common fixed point theorems for generalized contractions. Our outcomes extend and generalize some conventional fixed point results in the literature. We also furnish a significant example to express the genuineness of the presented results. As an application, we derive some common fixed point results for self mappings, including the leading results of [Demonstr. Math., 54 (2021), 474-487] and [Int. J. Nonlinear Anal. Appl., 12 (2021), 717-727].

Keywords

• common fixed point
• multi-valued mappings
• bicomplex valued metric space
• generalized hausdorff distance function