Liouville theorem for $\phi$-$F$-symphonic map , $\phi$-$F$-harmonic map and and $\phi$-${\mathrm{\Phi }}_{S,p,\epsilon }$ harmonic map with free boundary

In this paper, we obtained Liouville theorem for $\phi$-$F$-symphonic map , $\phi$-$F$-harmonic map and $\phi$-${\mathrm{\Phi }}_{S,p,\epsilon }$ harmonic map with free boundary on metric measure space.