/homes/work/abc.txt
--> abc.txt

awk -F "/" '{print $NF}' input.txt

abc1.txt
abc2.txt
abc3.txt

$>cat input.txt
text path/to/file/abc1.txt
path/to/file/abc2.txt
path/to/file/abc3.txt

sed 's:.*/::' file

grep -oP '(.*/)?K.*' file

rev file | cut -d/ -f1 | rev

while IFS= read -r line; do
  basename "$line"
done < file

echo "/homes/work/abc.txt" | awk '{sub(/.*//,x)}1'
abc.txt

echo "/homes/work/abc.txt" | awk -F/ '$0=$NF'
abc.txt

echo "/homes/work/abc.txt" | awk -F/ '{$0=$NF}1'