Jon Tejnung

This plugin will give you three alternatives for managing your WordPress updates:
<ul>
<li>Update automatically – This updates WordPress/themes/plugins automatically and sends an email to the site admin when an update has been performed.</li>
<li>Update automatically (no email) – Same as the first alternative, but without the email.</li>
<li>Inform about updates once a week – This will send an email to the admin once a week if there are anything that can be updated.</li>
</ul>
Notice that only plugins/themes that resides in the WordPress 
repository will be updated/informed about.
The plugin has not been tested and is not primarily made for multi site-installations.

Simple Automatic Updates

Activate automatic updates or weekly notifications for the site.

sumit

With the use of this plugin you can hides update reminder message from the WordPress Admin for all non admin users and for Admin also.
You can change the setting from the WordPress Admin to show the update reminder message will hide only for only non admin users or Admin to.
For more information or any query please <a href="http://sumitbansal.com/wordpress-plugin/hide-update-reminder-message/" rel="nofollow ugc">click here</a>
<h3>Support</h3>
Support is provided at http://sumitbansal.com/wordpress-plugin/hide-update-reminder-message/

Hide Update Reminder Message

Hides the Update Reminder in the Admin for all non Admin users.

Simple Automatic Updates vs Hide Update Reminder Message