An general survey of the superconducting (SC) gap study in the title compounds by point-contact (PC) spectroscopy is presented. The SC gap was determined from dV/dI of PCs employing the well-known theory of conductivity for normal metal-superconductor PCs accounting Andreev reflection. The theory was modified by including pair-breaking effects considering the presence of magnetic rare-earth ions. A possible multiband structure of these compounds was also taken into account. The PC study of the gap in the Er-compound (T_N ≊ 6 K < T_c ≊ 11K) gives evidence for the presence of two SC gaps. Additionally, a distinct decrease of both gaps is revealed for R Er in the antiferromagnetic (AF) state. For R Tm (T_N ≊1.5 K < T_c ≊10.5 K) a decrease of the SC gap is observed below 4–5 K, while for R Dy (T_N ≊10.5 K > T_c ≊ 6.5 K) the SC gap has a BCS-like dependence in the AF state. The SC gap for R Ho (T_N ≊5.2 K < T_c ≊ 8.5 K) exhibits below T* ≊5.6 K a single-band BCS-like dependence vanishing above T*, where a specific magnetic order occurs. The difference in the SC gap behavior in the title compounds is attributed to different AF ordering.