G-positive and G-repositive solutions to some adjointable operator equations over Hilbert modules

Some necessary and sufficient‎ ‎conditions are given for the existence of a G-positive‎ ‎(G-repositive) solution of adjointable operator equations‎ ‎$AX=C,AXA^{\left( \ast\right) }=C$ and $AXB=C$ over Hilbert‎ ‎$C^{\ast}$-modules‎, ‎respectively‎. ‎Moreover‎, ‎the expressions of these‎ ‎general G-positive (G-repositive) solutions are also derived‎. ‎Some‎ ‎of the findings of this paper extend some known results in the‎ ‎literature‎.