Results on common fixed points in S_b-metric spaces

In this paper, we establish new common fixed point theorems for pairs of weakly compatible mappings within the framework of $S_b$-metric spaces. By introducing generalized contractive conditions, we demonstrate the existence and uniqueness of common fixed points for such self-mappings. Our results extend and generalize several well known fixed point theorems in the existing literature. An example is also provided to support and clarify the main result.