Kmart is owned by the Sears Holdings Corporation.
Excuse me but Kmart bought Sears not the other way around. Just
google it like I just did and You will find this to be true
------- Edited June 2, 2017.
Although Kmart did buy Sears, the holding company uses the
company name of the better known company, hence it's Sears Holdings
Corporation. This is not uncommon. Compare America West Airlines
==> US Airways ==> American Airlines (AMR) ==> American
Airlines Group, Inc.