Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 4, Pages 381-391
doi:10.1155/S1048953395000347
Abstract
A non-compact deterministic variational inequality which is used to prove an
existence theorem for saddle points in the setting of topological vector spaces and
a random variational inequality. The latter result is then applied to obtain the
random version of the Fan's best approximation theorem. Several random fixed
point theorems are obtained as applications of the random best approximation
theorem.