Advances in common fixed-point methods involving Ćirić-type contractions on complex-valued metric spaces: fundamental theorems and applications

We investigate common fixed-points (c.f.pts) associated with triple mappings using Ćirić-type contractions within a complete space equipped with a b-metric over complex numbers, under essential and fundamental sufficient conditions.Additionally, we explore applications that demonstrate how these results contribute to establishing the unique determination of common solutions (c.sols) for systems of functional equations and problems involving hierarchical fixed-points (f.pts).This work not only extends recent results, but also presents original and distinct outcomes compared to well-known findings in the existing literature, under appropriate conditions.