I don't know about your area, but in mine they are weeds. The one is a violet the others unknown.

Pic 2 Glechoma hederacea, 3 Lamium purpureum, 4 grape hyacinth? They're weeds, but they'll die out by summer, then probably be replaced by weedy grasses. A good layer of wood mulch alone will stop a lot of them from germinating, no liner required.

As Skip says. None of them is a violet. Whether it not the grape hyacinth is a weed is debatable. People buy them and plant them, unlike the other two.

No liner and no need to put new soil unless there are proven deficiencies. Just do some old fashioned weeding and mulch. If you keep after them there is no need for the bed to be overgrown.

We just always called them wild violets. I don't care much for proper names for plants. Most people around here don't know what your talking about if you use its proper name anyway.

Mackenzie Graves

Are these good flowers?

Mackenzie Graves

Currently, there are about three different kinds of small flowers growing here and they are actually kind of pretty ground cover.

Function, I have the same plants the OP posted in my yard. The Glechoma is called creeping charlie or ground ivy. Wild violets are similar but the leaves are smoother and the flowers are different when you look closely. This is one of the wild violet flowers, there are also solid darker blue ones all over my yard. They intermix with the creeping charlie.

This forum is for plant identification and is visited by people from all over the world. That's why we try to give the standard, universally used botanical names for requested ids. Common names are often local and may mean different things in different places. Furthermore, if the OP wants to research the plants they ask about they will get the best information if the use the accepted scientific nomenclature. Googling 'violet' won't produce any information on Glechoma hederacea.

floral, the gardener is a self admitted newbie. Nothing overwhelms a new gardener than thinking they have to know these botanical names. It's like giving War and Piece to a first grader, or a top model sewing machine with a wedding dress pattern to a first time sewer. They will look at it and give up before even trying because they think it is too complicated. Gardening is also a learning curve. You take baby steps at the beginning. Gardening doesn't have to be so complicated as some people like to make it out. Botanical names are good for finding a specific variety of a plant, but the OP wanted to know what the plants were. They are weeds. It's not like she is going to go out to the nursery to get a flat of these weeds to plant. Save the botanical names for specific ID or to impress your garden club.

It does no harm to the OP or to anyone else reading this post to be given the binomial as well as the common name; maybe someone will learn something new. Assuming that "most people" don't know the proper name for a plant is insulting, IMO.

I'm confused. Are you cultivating these as a ground cover or do you have them as a weed in your lawn. If you have them as a weed, you need to spray with something like Weed-b-Gon or Weed-b-Gon Chickweed, Clover, and Oxalis Killer. Give that 3 weeks to see results. Then in a month or so you may see recurrence as the seeds from these weeds germinate. You'll have to keep after it to eradicate them.