same post=category=post-format

==========
custom url

<?php
$format = get_post_format();
$category = get_the_category();
$cats = array();
foreach( $category as $cat ) {
	$cats[] = $cat->term_id;
}
$cats = (array) $cats;
$cats = implode(',', $cats);
$author = get_the_author_meta('ID');

$url = home_url('/') . 'blog/'; //same name page slaug

$url .= '?key=search';
$url .= '&format='.$format;
$url .= '&cat='.$cats;
$url .= '&auth='.$author;
echo '<br /> <a href="'.esc_url($url).'" target="_blank">click to view the link</a>';
?>


===================
custom-temaplte 


<?php
global $wp_query;
$args = array(
	'post_type' => 'post',
	'post_status' => 'publish',
	'posts_per_page' => $wp_query->max_num_pages,

);
if( isset($_GET) && isset( $_GET['key'] ) && !empty( $_GET['key'] ) && $_GET['key'] === 'search' ) {
	
	$author =    (isset($_GET['auth']) && !empty($_GET['auth'])) ? $_GET['auth'] : '';
	$format =    (isset($_GET['format']) && !empty($_GET['format'])) ? 'post-format-'. $_GET['format'] : '';
	$cat    =    (isset($_GET['cat']) && !empty($_GET['cat'])) ? $_GET['cat'] : '';

	if( !empty($author) )
		$args['auth'] = (int)$author;

	if( !empty($author) )
		$args['cat'] = $cat;

	if( !empty($format) ) {
		$args['tax_query'] = array(
			array(
				'taxonomy' => 'post_format',
				'field' => 'slug',
				'terms' => $format
			)
		);
	}

}
$the_query = new WP_Query( $args );
// The Loop
if ( $the_query->have_posts() ) {
    echo '<ul>';
    while ( $the_query->have_posts() ) {
        $the_query->the_post();
        echo '<li><a href="'.esc_url( get_the_permalink() ).'">' . get_the_title() . '</a></li>';
        ?>
			<h2><?php the_author() ?></h2>
        <?php
    }
    echo '</ul>';
} else {
    echo 'no posts found';
}
/* Restore original Post Data */
wp_reset_postdata();

?>