Random region function and its applications
type: Item
instance of: scholarly article
title: Random region function and its applications
zbMATH Open document ID: 0607.60048
DOI: 10.1007/BF01900709
author: Chong He
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1986-01-01T00:00:00Z
review text: This paper is mainly based on the author's paper ''Region function'', ibid. 7, 189-196 (1986) and on the work of some other authors. It applies the random fixed point theory established by them to any nonempty random region. Thereby, the random region, the random region function, the random stable centre of a random region and the random stable point theory of a random region function defined over such a random region are established. The random region theory defined by this paper for the random geometrical theory and random set theory is an important contribution. Some complicated and open questions in random geometry and the theory of random sets are easily solved by random region theory. Thereby, the random differential and integral theory for the classical random points function are largely extended.
reviewed by: Kun-Jen Chung
Mathematics Subject Classification ID: 60H25
Mathematics Subject Classification ID: 47H10
zbMATH DE Number: 3982190
zbMATH Keywords: random fixed point theory
zbMATH Keywords: random set theory
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01900709
OpenAlex ID: W2065310930
description: scientific article; zbMATH DE number 3982190