Adapt A_d axioms to other generalized spaces such as b-metric spaces

Adapt the A_d axioms to other generalized distance structures, specifically including b-metric spaces, to formulate an appropriate counterpart of A_d-contractions beyond dislocated metric spaces.

Background

The A_d axioms were designed to address challenges unique to dislocated metric spaces, such as nonzero self-distances, by strengthening uniform contraction (A2) and adding strict inequality for positive distances (A3). Translating these axioms to other generalized spaces like b-metric spaces would broaden applicability and may require new technical adjustments to handle altered triangle-type inequalities.

Such an adaptation would clarify how the A_d control functions interact with the relaxed triangular structure of b-metrics and whether analogous fixed point or related results can be established in those settings.