Period three plays a negative role in a multivalued version of Sharkovskii's theorem

The negative role of period in multivalued version of Sharkovskii theorem was discussed. A preposition was assumed that a multivalued upper-semicontinuous mapping φ: R→ 2R \ {φ}, whose values were either single points or closed connected intervals, had no primary 3-orbits. An alternative proof of the preposition was provided by approximation techniques.