General Points
Reliable sourcing is the most important factor. Assertions of notability must be sourced from somewhere other than the individual or organisation under discussion (see secondary sources); if referencing a tournament title, the organisation which ran the tournament would be the first stop; if the subject of an article is an author, the publisher or ISBN of the subject's work should be given. A single local newspaper article is probably not enough to assert notability, but national mention with some details or multiple local sources that "make a case" for notability. A lack of any sources after looking around is a warning sign that an article may not be notable enough for inclusion.
Google and other search engines are a useful tool for finding sources, and may sometimes be persuasive (very high or very low result counts), but is not proof of whether or not something is notable (see WP:Google test). Using quotes around the search ("example martial art") will look for only exact matches and using -Wikipedia at the end will remove self references.
Make the content of articles appropriate for the breadth of the article. That is, in an article about a national organization the school which is its headquarters or flagship might be appropriate to discuss in some detail, but certainly not every school that belongs to the organization. Articles on broad types of martial arts should usually not focus on a single organisation or school, but attempt to present a universal perspective on the art and include sections on these organisations with links if appropriate. Articles about techniques practised by more than one type of martial art, such as Kick, should follow the same principle, and not unduly focus upon a particular martial art.
When discussing Mixed martial arts organisations fighters and events MMA Project's Notabilty page may be useful.
Read more about this topic: Wikipedia:WikiProject Martial Arts
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