Were there any malls supermarkets super-stores in the 1930s?

The Supermarket (1930s and 1940s):

As early at the 1920s, some chain grocers were experimenting with consolidated (albeit still rather small) stores that featured at least a small selection of fresh meats and produce along with the dry grocery items. In Southern California, Ralphs Grocery Company was expanding into much larger stores than had been seen before in most of the country. Los Angeles was also seeing the beginning of the "drive-in market" phenomenon, where several complimentary food retailers (a butcher, a baker, a grocer, and a produce vendor, for example) would locate within the same small shopping center surrounding a parking lot. These centers were often perceived by customers as a single entity, despite being under separate ownership.