The discount chain Big Lots, which filed for bankruptcy protection in September, has reached a deal that will keep hundreds of its stores and distribution centers open. It will be sold to Gordon Brothers Retail Partners, a firm specializing in distressed companies. will then transfer Big Lots’ stores, distribution centers and other assets to other retailers. Variety Wholesalers Inc., plans to acquire between 200 and 400 Big Lots stores and operate them under the Big Lots brand.