Random vector variational inequalities and random noncooperative vector equilibrium (Q1366404)

The authors consider the case of vector-valued functions (e.g., \(\varphi\) from \(\Omega\times X\times X \) to a complete separable metrizable topological vector space with a convex cone \(K\)) in existence theorems of random solutions for random vector variational inequalities [as random generalizations of the vector variational inequalities investigated by \textit{G. Y. Chen} and \textit{X. Q. Yang}, J. Math. Anal. Appl. 153, No. 1, 136-158 (1990; Zbl 0712.90083)] of the random noncooperative vector equilibrium and of the random vector saddle point.