We introduce the notion of ordered cyclic weakly (ψ,ϕ, L, A, B)-contractive mappings,
and we establish some fixed and common fixed point results for this class of
mappings in complete ordered b-metric spaces. Our results extend several known
results from the context of ordered metric spaces to the setting of ordered b-metric
spaces. They are also cyclic variants of some very recent results in ordered b-metric
spaces with even weaker contractive conditions. Some examples support our results
and show that the obtained extensions are proper. Moreover, an application to
integral equations is given here to illustrate the usability of the obtained results.
کلید واژگان :
common fixed point; cyclic contraction; almost contraction; ordered b-metric space; altering distance function
