Random fixed points and random differential inclusions
type: Item
instance of: scholarly article
title: Random fixed points and random differential inclusions
zbMATH Open document ID: 0658.60090
DOI: 10.1155/S0161171288000663
author: Nikolaos S. Papageorgiou
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/46325
review text: Using the fixed point method the author studies random best approximations to random sets. The stochastic analogues of deterministic results of \textit{F. Browder} and \textit{W. Petryshyn} [J. Math. Anal. Appl. 20, 197-228 (1967; Zbl 0153.457)], \textit{K. Fan} [Math. Z. 112, 234-240 (1969; Zbl 0185.395)] and \textit{S. Reich} [J. Math. Anal. Appl. 62, 104- 113 (1978; Zbl 0375.47031)] are obtained. Two fixed point theorems for random multifunctions with stochastic domain are proved and some existence results for random differential inclusions are given.
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 60H10
zbMATH DE Number: 4076232
zbMATH Keywords: random fixed point theorem
zbMATH Keywords: fixed point theorems for random multifunctions
zbMATH Keywords: random differential inclusions
reviewed by: Olga Hadžić
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4076232