Non linear ℒ – fuzzy stability of functional equations in various spaces

Authors :: Ramu Dubey
Jyotsana
Vishnu Narayan Mishra
Renu Chugh
Source :: PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NUCLEAR SCIENCE, TECHNOLOGY, AND APPLICATION 2020 (ICONSTA 2020).
Publication Year :: 2021
Publisher :: AIP Publishing, 2021.
Abstract: In this work, the authors solve some stability problems of quartic functional equation in ℒ – fuzzy normed space(ℒ – FNS) and non-Archimedean ℒ – fuzzy normed space(ℒ – FNS). Also, we generalize the stability results of quadratic functional equation in fuzzy Banach space(FBS) within a any t′ – norm.

Subjects :: Pure mathematics
Nonlinear system
Mathematics::General Mathematics
Norm (mathematics)
Physics::Medical Physics
Quartic functional equation
Banach space
Stability (learning theory)
Fuzzy logic
Quadratic functional
Mathematics
Normed vector space

ISSN :: 0094243X
Database :: OpenAIRE
Journal :: PROCEEDINGS OF INTERNATIONAL CONFERENCE ON NUCLEAR SCIENCE, TECHNOLOGY, AND APPLICATION 2020 (ICONSTA 2020)
Accession number :: edsair.doi...........33b216c1e0e8f45971f6e989f0180891
Full Text :: https://doi.org/10.1063/5.0062959