Custom post type title of each author in his own post

If I understand you right, you want to show a post by a certain user with a custom post type

Here is the code I would use, it might use a little more customizing, but it should give you the effect you want.

<?php
function display_oftera_post () {
    global $current_user;
    get_currentuserinfo(); // Logged in User

    if ( is_user_logged_in() ) { // If User is logged in, display the post

        $args = array( // Post Arguments
            'post_type' => 'oftera', // Post Type
            'author'    => $current_user->ID
        );

        $the_query = new WP_Query( $args);
                while ($the_query -> have_posts()) : $the_query -> the_post(); ?>
                                     <h2><a href="https://wordpress.stackexchange.com/questions/129179/<?php the_permalink() ?>" rel="bookmark" title="Permanent Link to <?php the_title_attribute(); ?>"><?php the_title(); ?></a></h2>
                                     <p> <?php the_content(); ?> </p>
        <?php endwhile;
        }
    }
?>