There is no difference. Kyokushin was the name decades ago, and now it is several big Kyokushin schools.
Explanation of the relationship between the so-called "Kyokushin Kaikan" and "Kyokushin Federation"
Author: Kyokushin
Senior Matsui Shokei and Hasegawa Kazuki Teachers College It is well known that they are all disciples of Grandmaster Dashan Beida. After Grandmaster Oyama passed away in 1994, Matsui-senpai claimed that Grandmaster Oyama designated him as the successor of Kyokushin Kaikan before his death. Regardless of whether the will of Master Oyama is true or false (because there was no third party present at the time, it was announced unilaterally by Matsui-senpai), the result is what we see now, the Kyokushin Association is torn apart.
Whether Hasegawa Shihan or Midori Kenji-senpai, they did not break away from the Kyokushin Kaikan. They did not recognize Matsui-senpai as the sole successor of the Kyokushin Kaikan.
After the estrangement arose, except for Higashikata and other disciples of Oyama Patriarch, they developed in the direction of mixed martial arts due to their own martial arts ideals, so they left Kyokushinkai and founded other institutions such as Daidai Juku, which was different from the Outside the sect of Kyokushin Karate. Those like Hasegawa Shihan and Midori Kenji-senpai who upheld the philosophy and teachings of Kyokushin Kai, but did not recognize Matsui-senpai as the heir to Kyokushinkai. Matsui-senpai began to litigate with them one by one and did not allow their dojos or any of their karate. behavior, using the name and calligraphy trademark of "Kyokushinkai".
The first famous lawsuit occurred between Matsui-senpai and Midori Kenji-senpai. As a result, Green Kenji senior lost the lawsuit, which is how the name "Shinkyoku Shinkai" came from.
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The second lawsuit occurred in the middle of last year. Matsui-senpai and Hasegawa Normal, two fellow disciples, faced each other in court twice. As a result, Hasegawa Normal won the case and Japan's highest The court ruled:
Anyone who held the position of head of the Kyokushinkai branch in various parts of Japan during the lifetime of the founder of Oyama Beida, now has the right to use the name and calligraphy trademark of "Kyokushinkai".
This is why we can now call them Nanjing Kyokushinkai and Shanghai Kyokushinkai, because the Songdao faction and the United Federation faction have the right to use the name "Gyokushinkai", which has been confirmed by law.