Insert category title on top of each category page

What theme are you using? Where did you download it from?

general, edit category.php of your theme (if this does not exst, see https://codex.www.ads-software.com/Template_Hierarchy to find which template you need to edit) and add a line like:

<?php if( is_category() && !is_paged() ) single_cat_title(); ?>

i am using esplanade. thank you. Some addition to question, not only just name. i want to show a unique picture beside the category name.

show a unique picture beside the category name

there might be plugin’s for category images;
https://www.ads-software.com/plugins/search.php?q=category+image

ideally, for details on how to implement that into your theme, please ask in your theme’s forum at https://www.ads-software.com/support/theme/esplanade/