Allow users to delete Items/documents that thhey have posted

Question

Using SharePoint 2013.
We would like users to be able to delete items and documents that they have posted, but not anything created by another user. It would appear that delete is not so fine grained. For a list, we can use "create items and edit items that were created by
the user" to allow them to edit, but have found nothing regarding deletion...though it may be covered by edit.
Libraries do not seem to have this option, and I have not found a good setting in PowerShell, at the library (list), or Items level.
Any thoughts would be most appreciated.

Answer 1

oldamigauser
Unfortunately, setting Item-Level Permissions is no longer available for document libraries in 2013, either through advanced settings or via PowerShell. It is still available for lists in 2013 - some list-types that is (it's not available for the Issue Tracking
list type, for example).
As far as implementing finer configuration of the delete permission, there is no OOTB way to differentiate delete permission by whether the person attempting to delete an object was the creator of that object.  It is possible to create a permission
level that enables users to read and edit list and document items but not delete them.  To do this, you will need to create a custom permission level - probably using the existing Contribute permission level as a template.
Something approaching your needs could be accomplished by: 1) creating a custom permissions level that includes all of your users and that enables them to do everything the Contribute permission level allows them to do except delete; and then 2) place your
select users into the OOTB Contribute permission level which enables them to also delete items.
References
Configure custom permissions in SharePoint 2013