This paper presents new fixed-point theorems for expansive mappings in partial metric spaces, extending classical results from metric spaces to a more general framework. Partial metric spaces, introduced by Matthews, allow nonzero self-distances, thereby providing a richer structure suitable for modeling computational and topological phenomena. By considering three self-mappings S,T,and Uon a complete partial metric space and introducing a novel contraction condition, we establish the existence and uniqueness of a common fixed point. The results not only generalize several well-known fixed-point theorems but also demonstrate the flexibility of partial metric spaces in accommodating non-commuting mappings. These findings contribute to the growing intersection of fixed-point theory, topology, and theoretical computer science, enhancing its applicability in computational models and analysis.