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We prove that a set-valued map F : X → P0(Y) satisfying the functional inclusion F(x)♦F(y) ⊆ F(x ∗y) admits, in appropriate conditions, a unique selection f : X →Y satisfy- ing the functional equation f(x)  f(y )= f(x ∗y) ,w here(X,∗), (Y, ) are square-symmetric grupoids and ♦ is the extension ofto the collection P0(Y) of all nonempty parts of Y.

A Property of a Functional Inclusion Connected with Hyers-Ulam Stability