Fixed point results for almost Z-contractions in partial b-metric spaces via simulation function

Abstract

In this paper, we investigate the existence and uniqueness of a fixed point of almost Z-contractions via simulation function in complete partial b-metric spaces using (α, β)-admissibility. Also, some illustrative examples are given to validate the results. Furthermore, an application to the BVP is given. Our results extend and generalize several previous works from the existing literature.