This is my second pair. I also have the greenish/gray pair purchased at a department store and available on Amazon as well.
I developed heel pain and plantar fasciitis wearing sneakers that had a minimal arch and were too wide for my narrow heel across the whole back of my foot. I basically had little support. The heel problem developed slowly until one day my left foot let me know time was up for the shoes I was wearing. One day OK, next day, Yikes!! I researched my problem then went to a store carrying lots of brands of shoes to try on while my foot was painful. Was so pleased to find these. There is an approval seal from the American Podiatric Medical Assn on the box. I hoped they could help and they have. They are tight and narrow across my heel and have lots of support.  I held up all my pairs that caused this problem to compare the backs with the ASICS. Unbelievable. The old ones were at least twice as wide. Inside I also slide in an orthodic with a great arch and bottom padding right on top of the arch in the bottom liner that is built in there,  although with a good orthodic maybe you wouldnt need the liner and it can come out. Lots of places have inexpensive orthodics as does Amazon to try.  They are worth a try. They all are a little different and I tried four different brands. Found the one I liked the best. Mine have a deep heel cup and good arch. I think using an orthodic will be trial and error for everyone or maybe you wouldnt need one at all, but I have to say these shoes along with the orthodic insert have really worked. It will take a while to heal so my research says, but at least now Im not limping, Ive resumed my normal activities (Im a daily walker), and along with some easy exercises for this problem and occasional recommended ice packs in the evening, I feel that Im on the road to recovery. Things are definitely better and with two pairs of these shoes now I have a choice!  Hope my experience helps someone else. Remember though its a slow recovery.