I don't know if there is a special word for this playing style - I do it like this: I take a barre and I play all single notes along - if I need a chord I just keep the barre and press all needed fingers down on the fretboard and I strum along.
If I play a solo I get off the barre and I play with my index-, middle- and ringfinger. Arp's does not sound very clean with this finger technique so I thought I switch to the barre again - but after a while my finger and hands start to hurt and I do stop playing because of the pain.
So my question: Is this style of playing a guitar a good way? What can I improve to have less pain and more endurance?