possessive (adj.)

mid-15c., possessif, grammatical, "pertaining to or denoting possession," also as a noun, "pronoun or other word denoting possession," from Old French possessif (15c.) "relating to possession, possessive," and directly from Latin possessivus, from possess-, past participle stem of possidere "to possess" (see possess). From 1550s in general use. Related: Possessively; possessiveness. The possessive case is the genitive case.

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Definitions of possessive from WordNet
possessive (adj.)
serving to express or indicate possession;
possessive pronouns
Synonyms: genitive
possessive (adj.)
desirous of owning;
small children are so possessive they will not let others play with their toys
possessive (adj.)
having or showing a desire to control or dominate;
a possessive parent
possessive (n.)
the case expressing ownership;
Synonyms: genitive / genitive case / possessive case