In this paper, we obtain random coupled coincidence point theorems
in an ordered metric space X for a pair of random mappings F : Ω ×
( ) X × X → X and g : Ω× X → X under certain contractive conditions
which are commutative under generalized altering distance function
in five variables. Random coupled fixed point results (as corollaries)
under certain contractive conditions will be excerpted from our
theorems. We also support our result by an example.