It sounds like you want files added to /user/application/feed to automatically receive the permissions 777. Firstly, make the permissions of the folder 777 with
chmod 777 /user/application/feed
It's also important to remember that access to these 777 files will
still be restricted by each of the parent directories (e.g. if you
have restrictive permissions on /user/application
then some users
may not be able to see your files.
You can then use ACL's to ensure that all newly created files inherit the permissions of the parent directory. For an overview of this process you can see this question: https://superuser.com/questions/151911/how-to-make-new-file-permission-inherit-from-the-parent-directory
In brief, you should try:
setfacl -d -m u::rwx /user/application/feed/
setfacl -d -m g::rwx /user/application/feed/
setfacl -d -m o::rwx /user/application/feed/
If these commands fail, it may be because ACLs are disabled for your volume. In this case you can enable them in /etc/fstab