For User i am giving option of color selections for a theme I am giving user the option of selecting the color(color scheme option like bartik) for the theme.For multiple users how do i save there color values for the theme and show their values alone depending on their login ? Colors for their header ,footer etc...

Help me provide with a solution.Thanks in advance
well, usually there are pre-defined color sets (like in batrik), so you save set name and then on hook_preprocess_page you chose which css to include.
So either this or you can add inline css styling using the same function drupal_add_css.

As for how to save this for each user, you can add extra field to user profile at Home » Administration » Configuration » People » Account settings
and then programmatically update it with needed value - example below, details here.

global $user;
$existing = user_load($uid);
unset($existing-&gt;pass);
$edit = (array) $existing;
$edit['field_somefield']['und'][0]['value'] = 'blah';
user_save($user, $edit);