Non-compact random generalized games and random quasi-variational inequalities
type: Item
instance of: scholarly article
title: Non-compact random generalized games and random quasi-variational inequalities
zbMATH Open document ID: 0821.47049
DOI: 10.1155/S1048953394000377
author: George Xian-Zhi Yuan
published in: Journal of Applied Mathematics and Stochastic Analysis
publication date: 1995-04-03T00:00:00Z
full work available at URL: https://eudml.org/doc/47247
review text: Summary: Existence theorems of random maximal elements, random equilibria for the random one-person game and random generalized game with a countable number of players are given as applications of random fixed point theorems. By employing existence theorems of random generalized games, we deduce the existence of solutions for non-compact random quasi- variational inequalities. These in turn are used to establish several existence theorems of non- compact generalized random quasi-variational inequalities which are either stochastic versions of known deterministic inequalities or refinements of corresponding results known in the literature.
Mathematics Subject Classification ID: 47H40
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 47B80
Mathematics Subject Classification ID: 47H04
Mathematics Subject Classification ID: 47J20
Mathematics Subject Classification ID: 47N10
Mathematics Subject Classification ID: 49J40
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 49J55
Mathematics Subject Classification ID: 54C60
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 91B50
Mathematics Subject Classification ID: 91A07
Mathematics Subject Classification ID: 91A60
Mathematics Subject Classification ID: 28A05
Mathematics Subject Classification ID: 28A20
zbMATH DE Number: 735696
zbMATH Keywords: random maximal elements
zbMATH Keywords: existence theorems
zbMATH Keywords: random equilibria
zbMATH Keywords: random one-person game
zbMATH Keywords: random generalized game with a countable number of players
zbMATH Keywords: random fixed point theorems
zbMATH Keywords: non-compact random quasi- variational inequalities
MaRDI profile type: Publication
OpenAlex ID: W2020028689
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description: scientific article; zbMATH DE number 735696