Fox is going back into “Hell’s Kitchen.”The Gordon Ramsay culinary competition series, which has long been a summer reality staple, has been given a pickup by Fox for its 11th and 12th seasons. The 10th season is set to launch at 8 p.m. May 29. Last season the series drew a 3.4 rating/10 share in the 18-49 demo and 7.5 million viewers overall, according to Nielsen. Ramsay is a fixture at Fox, with “Kitchen” joined on the net’s roster by “Kitchen Nightmares” and “MasterChef.” Series is produced by ITV Studios America and A. Smith & Co. Prods. Arthur Smith, Kent Weed and Ramsay are exec producers.