Iceland is considered one of the safest countries in the world. Just be sure to avoid the fights that break out amongst the most intoxicated partiers in bars and most often on the street on weekends. However most people are incredibly friendly and police are also friendly and very helpful.
Recently, however, petty thefts in ReykjavÃk have occasionally occurred. In addition, the female traveler would do well to exercise good judgment when walking alone at night. Rape is rare, but occurs twice as often as in other nordic countries, Still, even with these issues, ReykjavÃk is much safer than most other western cities, and certainly safer than the larger capitals of other countries.
Homeless people generally hang in the area around the Hlemmur bus station or on AusturvÃ¶llur park. They usually don't bother people, not even to ask for spare change even though they might seem to act strangely.