Display custom post type for specific user

try this:

$args = array(
    'author' => get_current_user_id(),
    'post_type' => 'YOUR_CUSTOMPOST_TYPE',
);
$author_posts = new WP_Query( $args );
if ($author_posts->have_posts()): while ($author_posts->have_posts()) : $author_posts->the_post();

     //DISPLAY CONTENTS HERE

endwhile; endif;
wp_reset_postdata();
wp_reset_query();

replace YOUR_CUSTOMPOST_TYPE with your post type,
what it does is finds posts of certain post type whose author is currently logged in user.

Currently it queries posts whose author is currently logged in user, you can list other users by using get_users(), full description here, and set 'author' => get_current_user_id() to 'author' => $ID_OF_USER