Below is the list of tables from the database along with their columns and datatype. Need to generate an accurate SQL query for the question.
Only use the columns present in the respective table. Only use the columns which are required to generate the SQL query. Only use table joins if required and not otherwise.

### Tables ###
TABLE: CREATE TABLE table_5889 ( "Year" real, "Men's singles" text, "Women's singles" text, "Men's doubles" text, "Women's doubles" text, "Mixed doubles" text )

### Question ###
Women's singles of astrid eidenbenz, and a Men's doubles of no competition is part of mixed doubles?

### Accurate SQL ###

SELECT "Mixed doubles" FROM table_5889 WHERE "Women's singles" = 'astrid eidenbenz' AND "Men's doubles" = 'no competition'