[bash] For files in directory, only echo filename (no path)

How do I go about echoing only the filename of a file if I iterate a directory with a for loop?

for filename in /home/user/*
do
  echo $filename
done;

will pull the full path with the file name. I just want the file name.

Use basename:

echo $(basename /foo/bar/stuff)

Another approach is to use ls when reading the file list within a directory so as to give you what you want, i.e. "just the file name/s". As opposed to reading the full file path and then extracting the "file name" component in the body of the for loop.

Example below that follows your original:

for filename in $(ls /home/user/)
do
  echo $filename
done;

If you are running the script in the same directory as the files, then it simply becomes:

for filename in $(ls)
do
  echo $filename
done;

You can either use what SiegeX said above or if you aren't interested in learning/using parameter expansion, you can use:

for filename in $(ls /home/user/);
do
    echo $filename
done;

Just use basename:

echo `basename "$filename"`

The quotes are needed in case $filename contains e.g. spaces.

if you want filename only :

for file in /home/user/*; do       
  f=$(echo "${file##*/}");
  filename=$(echo $f| cut  -d'.' -f 1); #file has extension, it return only filename
  echo $filename
done

for more information about cut command see here.