Random fixed point theorems for Hardy-Rogers self-random operators with applications to random integral equations

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Publication Details

Author list: Saipara P., Kumam P., Cho Y.J.

Publisher: Taylor and Francis Group

Publication year: 2018

Journal: Stochastics: An International Journal of Probability and Stochastic Processes (1744-2508)

Volume number: 90

Issue number: 2

Start page: 297

End page: 311

Number of pages: 15

ISSN: 1744-2508

eISSN: 1744-2516

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85024489363&doi=10.1080%2f17442508.2017.1346655&partnerID=40&md5=830f011ecec60089bb735336b43ba583

Languages: English-Great Britain (EN-GB)

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Abstract

In this paper, we prove some random fixed point theorems for Hardy–Rogers self-random operators in separable Banach spaces and, as some applications, we show the existence of a solution for random nonlinear integral equations in Banach spaces. Some stochastic versions of deterministic fixed point theorems for Hardy–Rogers self mappings and stochastic integral equations are obtained. © 2017 Informa UK Limited, trading as Taylor & Francis Group.

Keywords

Hardy–Rogers self-random operators, measurable function