Override default jquery ui library with newer version

Add the following code in functions.php file of your theme that will remove default jquery ui core and will add your provided latest jquery ui core file from your theme.

function my_scripts_method() {  
 if(!is_admin()){     
    wp_deregister_script( 'jquery-ui-core' );
wp_enqueue_script('jquery-ui-core', get_stylesheet_directory_uri().'/jquery.ui.core.min.js', array('jquery'), '1.9.2', 1 );
}
}     
add_action('wp_enqueue_scripts', 'my_scripts_method');

Tell me if it works for you or i provide you another solution…