$array = array (0 => array('name' => '....', 'url' => '....'))

foreach ($yourArray as $key=>$value) {
    ...
    <INPUT type="checkbox" name="chkArr[<?php echo $key ?>]" value="1" checked/>

foreach ($yourArray as $key=>$value) {
    if (!isset($_POST['chkArr'][$key]) OR $_POST['chkArr'][$key]!='1') {
        unset($yourArray[$key]);
    }
}

<label><input type="checkbox" name="thename[]" value="" /> The text</label>

<INPUT type="checkbox" name="chkArr[]" value="$num" checked/>