Fixed point results for $ P $-contractive mappings on $ M $-metric space and application

In this paper, we elucidate a pivotal fixed point theorem for $ P $-contraction mappings defined on $ M $-metric spaces, offering a novel perspective on the interplay between mappings and the underlying space structure. This theorem's significance becomes evident when compared with earlier results, underscoring its potential to enhance our understanding of fixed point theory in $ M $-metric spaces and its broader applications.