Some common fixed point results in ordered partial b-metric spaces

In this paper, we introduce a modified version of ordered partial b -metric spaces. We demonstrate a fundamental lemma for the convergence of sequences in such spaces. Using this lemma, we prove some fixed point and common fixed point results for ( ψ , φ ) -weakly contractive mappings in the setup of ordered partial b -metric spaces. Finally, examples are presented to verify the effectiveness and applicability of our main results. MSC: 47H10, 54H25.