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.
کلید واژگان :
ordered metric space; partial metric space; b-metric space; common fixed point; altering distance function
