Abstract
The purpose of this paper is to establish common fixed point theorems for set-valued mappings between 2-metric spaces. Generalizations of some definitions in 2-metric spaces and theorems by Ahmed [Ahmed MA. Common fixed point theorems for weakly compatible mappings. Rocky Mt J Math 2003;33 (4):1189–203.], generalized of Fisher [Fisher B. Common fixed points of mappings and set-valued mappings on a metric spaces. Kyungpook Math J 1985;25:35–42.] in 2-metric spaces.