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This article should help: https://www.gardeningknowhow.com/plant-problems/environmental/tips-for-saving-cold-damaged-plants.htm

Vinca minor (periwinkle) is planted in the spring after all dangers of frost.

For more information on growing vinca minor, please visit the following link:

https://www.gardeningknowhow.com/ornamental/groundcover/periwinkle/growing-periwinkle.htm

You pretty much have two choices which are to pull the weeds by hand or carefully paint, with a small artist paintbrush, the foliage of the weeds with a herbicide such as glyphosate, being careful not to touch the periwinkle. You should also put a few inches of mulch around your periwinkle to suppress unwanted weeds.

I have listed 2 links for you that will help you make a decision on the best product to use.
Good luck with your project.

https://www.gardeningknowhow.com/lawn-care/lgen/using-netting-for-lawns.htm

https://www.gardeningknowhow.com/special/slope-hill/hill-ground-cover.htm

Make sure that the plants are adequately watered by checking the soil. New planting should be maintained in moist soil until the roots become established.
Over watering could also be an issue, the wilting could be due to too much moisture and if the soil is not draining can lead to root rot.

I would avoid fertilizing the plants until you see active growth on the plants.
Excess fertilizer could harm the plants, excess nitrogen will also cause lack of flowering.

https://www.gardeningknowhow.com/ornamental/flowers/annual-vinca/madagascar-periwinkle-care.htm

This closely resembles a Variegated Vinca Vine.