"Min temp" is short for minimum temperature. It refers to the lowest recorded or expected temperature within a specific time period, such as a day or a night. It helps convey how cold it can get during that time. Full definition
Christy found that the large min temp warming exceeded slight max temp cooling, so the mean trend was positive. (wattsupwiththat.com)
Your ability to perceive temperature appears to be inconsistent with the data [fig 3 — irrigation has likely raised the GCV min temps and slowed the growth of the GCV max temps]. (realclimate.org)
Here are conditions: sample interval, March 16 - 26; only min temp used; and years that have approx the same El Nino and La Nina index were selected. (climateaudit.org)