How to redirect to action on custom page within admin section

Get the url of a specific admin page (e.g. the settings page (options-general.php)):

admin_url( 'options-general.php' )

Codex admin_url()

Adding query arguments to an url:

$params = array(
    'page'          => $_REQUEST['page'],
    'action'        => 'edit',
    'rls_element'   => $item['rls_name']
);

$url = add_query_arg( $params, $org_url );

Codex add_query_arg()

Put a and b together:

$params = array(
    'page'          => $_REQUEST['page'],
    'action'        => 'edit',
    'rls_element'   => $item['rls_name']
);

$url = add_query_arg( $params, admin_url( 'options-general.php' ) );

Now we can create links:

public function column_rls_name( $item ){

    $actions = array(
    'edit'  => $this->create_admin_link(
                        array(
                            'text'      => 'Edit',
                            'action'    => 'edit',
                            'item'      => $item['rls_name']
                        )
                )
    );

    return sprintf( '%1$s %2$s', $item['rls_name'], $this->row_actions( $actions ) );

}

public function create_admin_link( $args = array() ){

    $params = array(
        'page'          => $_REQUEST['page'],
        'action'        => $args['action'],
        'rls_element'   => $args['item']
    );

    $url = add_query_arg( $params, admin_url( 'options-general.php' ) );

    return sprintf( '<a href="https://wordpress.stackexchange.com/questions/75364/%s">%s</a>', $url, $args['text'] );

}