Some Existence Theorems for the Inclusion 0gA x.

Given a multifunction A from a topological space X into the topological dual E* of a real topological vector space E, we deal with the problem of finding xgX such that 0E*gA x.. Some existence results for the last inclusion are proved. In particular, we extend to multi-valued operators the main result of B. Ricceri J. Con¨ex. Anal. 2, 1995, 287]290..