Domain name disputes are most commonly used for trademark disputes, but you'll need to check the specific domain extension's dispute policy to see if it applies to your situation.
You should always try to resolve the issue with the domain owner prior to going this route since it can be expensive and may require a lawyer. A whois search can be performed to find the domain owner's registrar and/or their contact information.
Links to dispute policies for domain extensions we register can be found below. For other domain extensions, use your favorite search engine to search for the relevant domain dispute policy.
Most domain extensions (including generic domain extensions such as .com, .net. org, .info, .biz, etc.) use ICANN's Uniform Domain Name Dispute Resolution Policy (UDRP):
Country Level Domains
Country level domain extensions have their own dispute policies. Some of these dispute policies may share similarities with ICANN's UDRP.