The Osaka Exchange rubber contract for September delivery was up 0.6 yen, or 0.2%, at 251.3 yen ($2.3) per kg.
The rubber contract on the Shanghai futures exchange for September delivery was up 125 yuan, or 0.9%, at 14,365 yuan ($2,191) per tonne on Tuesday. China's commodity futures markets were closed on Monday for the Qingming festival.
Osaka Exchange's rubber contract for August delivery finished 14.1 yen, or 4.9%, lower at 275.9 yen ($2.6) per kg. But it booked a 4% gain for the week and a 17% jump for the month.
The rubber contract on the Shanghai futures exchange for May delivery also tanked 945 yuan to finish at 15,990 yuan ($2,475) per tonne.
Goodyear said the deal also broadens the distribution for Cooper replacement tires through its retail store network.
The implied cash and stock consideration for Cooper shareholders is $54.36 per share, representing a premium of 24% to its closing price on February 19.