A Helly theorem in metric spaces and majored operations

We present a generalization of a Helly type theorem given in [Duchoˇn, M.-Maliˇck´y, P.: A Helly theorem for functions with values in metricspaces, Tatra Mt. Math. Publ. 44 (2009), 159-168.] for sequences of functions with values in metric spaces and apply it to representations of some majored mappings on the space of continuous functions. A generalization of the Riesz theorem is formulated and proved. In particular, a representation of certain majored linear operators on the space of continuous functions, into a Banach space.