Is there any point in keeping tomatoes alive?

Here is Arkansas we have had a couple of weeks of 101-105 temps during the day. I have tomatoes planted in containers on my west facing deck that look very bedraggled. I trim off the sunburned parts only to find more each day. Some flowers but no fruits and the fruits on the vine are very small. Each day I water these poor folks, thinking that if I can keep them alive they might produce when the…