Distinguish Bardeen-like black holes by Gravitational lensing

We study Bardeen-like regular black holes without Cauchy horizons via gravitational lensing. In the weak field, the deflection angle receives a positive $\mathrm{\ell }$-dependent correction, producing a slightly larger Einstein ring. For the galaxy ESO 325-G004, the predicted ring radius is consistent with current observations. In the strong field, for Sgr A* and M87*, the asymptotic position ${\theta }_{\mathrm{\infty }}$ remains identical to the Schwarzschild value; however, SDL coefficients are $\mathrm{\ell }$-dependent, the angular separation s increases and the relative flux ratio $r_{\mathrm{m}\mathrm{a}\mathrm{g}}$ decreases as $\mathrm{\ell }$ increases. Time delays between relativistic images for Sgr A* and M87* also increase mildly with $\mathrm{\ell }$. Our calculated values for these observables remain consistent with current observations. Future strong-field measurements of $\mathrm{\Delta }{T}_{2,1}$, s, and $r_{\mathrm{m}\mathrm{a}\mathrm{g}}$ may offer a viable test for regular black holes free of Cauchy horizons and may distinguish Bardeen-like from Schwarzschild black holes.