The main story at the heart of Abenomics as far as the Japanese media is concerned is that Japanese exporters are making more money since the Liberal Democratic Party regained power. Secondarily, energy costs are rising thanks to a related increase in the dollar against the yen, not to mention imported wheat prices, which affect all sorts of processed foods in Japan. Many food-related manufacturers started raising prices on July 1 as a result.
So far, the price of imported fresh produce hasn't been affected that much. Last year we reported on the very low price of bananas due to specific circumstances, and since then the price has gone up quite a bit owing to a typhoon that destroyed much of the Philippines' crop. However, the prices of other fruits and vegetables that tend to be imported in large amounts haven't changed significantly. If anything, some local produce may have come down in price and thus become more competitive, notably kabocha, the Japanese style of pumpkin, often called buttercup squash in English.
Kabocha is grown in Japan but is mainly available in the fall and early winter. During the rest of the year it is imported mainly Mexico and New Zealand, but also from New Caledonia and South Korea. Demand is so strong that Japanese companies have been running farms in these countries for almost 20 years to grow kabocha exclusively. New Zealand first started exporting the vegetable to Japan in 1988. Actually, China, India and Russia produce much more pumpkin and other types of squash but the kind they grow is not necessarily popular here. (Also, there seems to be some issue with China's use of agrichemicals.) Japanese prefer a strain referred to as kuri-kabocha, which is drier.