Some new deterministic and random variational inequalities and their applications. (1995)

• Record Type: Journal Article
• Authors: Yuan, Xian-Zhi; Roy, Jean-Marc
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 8:Number 4(1995)
• Page Start: 381
• Page End: 391
• Publication Date: 1995
• Subjects: γ-generalized quasi-convex -- random variational inequality -- best approximation -- Saddle point -- generalized KKM mapping -- random fixed point; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953395000347
• Languages: English
• ISSNs: 1048-9533

Abstract

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.