I never cease to be amazed by the power of device manufacturer-backed advertising & marketing and social media hype to sway public perceptions. Instead of asking whether there is a nonsurgical approach to this problem, the question is framed as which device is best. The fact is that, in the hands of an experienced injector using the proper injection technique, the use of an appropriately robust HA filler can address this problem in literally a matter of a few minutes with immediate, on-the-spot results. Since the uppermost regions of the cheeks an an important support for the under-eyes, when there is volume loss or deficit there, the under-eyes develop hollows, bags and tear troughs. Restoring the volume to this region, which can be easily done with an appropriate HA filler, addresses this and diminishes the aforementioned problems. A tightening device cannot restore volume and by heating the underlying tissue and causing volume loss may actually even worsen the problem. You would be wise to consult wn experienced board certified cosmetic dermatologist, and exercise a healthy dose of "buyer beware" when offered this or that supposedly "next big thing" expensive fraxel laser, RF or ultrasound devices. Best of luck.