An Application to Fixed-Point Results in Tricomplex-Valued Metric Spaces Using Control Functions

Abstract

In the present work, we establish fixed-point results for a pair of mappings satisfying some contractive conditions on rational expressions with coefficients as point-dependent control functions in the setting of tricomplex-valued metric spaces. The proven results are extension and generalisation of some of the literature’s well-known results. We also explore some of the applications to our key results.

Keywords

• common fixed point
• TVMS
• complete TVMS
• Cauchy sequence
• fixed point