On the generalized Ulam-Hyers-Rassias stability of quadratic mappings in modular spaces without Δ2-conditions

Journal article

Authors/Editors

POOM KUMAM

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Publication Details

Author list: Wongkum K., Chaipunya P., Kumam P.

Publisher: Hindawi

Publication year: 2015

Journal: Journal of Function Spaces (2314-8896)

Volume number: 2015

ISSN: 2314-8896

eISSN: 2314-8888

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84930959953&doi=10.1155%2f2015%2f461719&partnerID=40&md5=102f5ed43cfca3c5737b0ff1b15611b2

Languages: English-Great Britain (EN-GB)

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Abstract

We approach the generalized Ulam-Hyers-Rassias (briefly, UHR) stability of quadratic functional equations via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces whose modulars are lower semicontinuous (briefly, lsc) but do not satisfy any relatives of Δ2 -conditions. © 2015 Kittipong Wongkum et al.

Keywords