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. You can try contacting the domain owner via any information on their website. A whois search can be performed to find the domain registrar and/or a way to contact the domain owner.
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.