This project aims to introduce (z, a, b)-contractions of type-A in b-metric-like spaces (BMLS) utilizing (a, b)-Geraghty contractions [9] introduced in 2019. In the first section of this work, a new class Yp is defined as a collection of maps with certain appropriate constraints. Then, using this class z : [0, ∞)p → [0, ∞), some fixed point findings are presented with an illustration for efficacy check. Many results in the literature are supported by our findings.