An Implicit Function Theorem for Inclusions Defined by Close Mappings.

The paper deals with the question of the solvability of inclusions <italic>F</italic>(<italic>x</italic>, <italic>σ</italic>) ∈ <italic>Q</italic> for mappings <italic>F</italic> close, in some metrics, to a given mapping <italic>̂F</italic>. [ABSTRACT FROM AUTHOR]