Probabilistic convergence transformation groups-Reference-Cited by-同舟云学术

Probabilistic convergence transformation groups

Published:2018-11-20 Issue:6 Volume:68 Page:1447-1464
ISSN:0139-9918
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Ahsanullah T. M. G.¹,Jäger Gunther²

Affiliation:

1. Department of Mathematics College of Science , King Saud University , Riyadh , 11451 , Saudi Arabia

2. School of Mechanical Engineering , University of Applied Sciences Stralsund , 18435 , Stralsund , Germany

Abstract

Abstract We introduce a notion of a probabilistic convergence transformation group, and present various natural examples including quotient probabilistic convergence transformation group. In doing so, we construct a probabilistic convergence structure on the group of homeomorphisms and look into a probabilistic convergence group that arises from probabilistic uniform convergence structure on function spaces. Given a probabilistic convergence space, and an arbitrary group, we construct a probabilistic convergence transformation group. Introducing a notion of a probabilistic metric convergence transformation group on a probabilistic metric space, we obtain in a natural way a probabilistic convergence transformation group.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0194/pdf

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