Lithromantic is a term to describe a person who experiences romantic love but does not want their feelings to be reciprocated. Lithromantic people may or may not be ok with romantic relationships. Some accept reciprocated platonic love, or even romantic love, but does not find it necessary in a relationship.
The term "akoiromantic" has been suggested in place of "lithromantic", due to controversy of appropriateness of lesbian culture. Another term is apromantic.