Some new deterministic and random variational inequalities and their applications
type: Item
instance of: scholarly article
title: Some new deterministic and random variational inequalities and their applications
zbMATH Open document ID: 0838.47048
DOI: 10.1155/S1048953395000347
author: Jean-Marc Roy
author: George Xian-Zhi Yuan
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1996-05-30T00:00:00Z
full work available at URL: https://eudml.org/doc/47407
review text: Summary: 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.
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 47S50
Mathematics Subject Classification ID: 46C05
Mathematics Subject Classification ID: 41A50
zbMATH DE Number: 847755
zbMATH Keywords: \(\gamma\)-generalized quasi-convex
zbMATH Keywords: random variational inequality
zbMATH Keywords: generalized KKM mapping
zbMATH Keywords: non-compact deterministic variational inequality
zbMATH Keywords: existence theorem for saddle points
zbMATH Keywords: random version of the Fan's best approximation theorem
zbMATH Keywords: random fixed point theorems
zbMATH Keywords: random best approximation
MaRDI profile type: Publication
OpenAlex ID: W2008505077
description: scientific article; zbMATH DE number 847755