how to search all user meta data that have value like “vivek”

As you said data is stored inside meta_value as serialized format. You can match your string among the serialized string like data.

$args = array(
'meta_query' => array(
    array(
        'key' => 'submitted',
        'value' => sprintf(':"%s";', 'vivek'),
        'compare' => 'LIKE'
    )
)
);

$query = new WP_User_Query( $args );

Hope this help!

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