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ON AN EQUATION CHARACTERIZING MULTI-JENSEN-QUARTIC MAPPINGS AND ITS STABILITYopen access

Authors
Park, ChoonkilBodaghi, AbasaltXu, Tian-Zhou
Issue Date
Mar-2021
Publisher
ELEMENT
Keywords
Banach space; multi-Jensen mapping; multi-Jensen-quartic mapping; multi-quartic mapping; Hyers-Ulam stability; hyperstability
Citation
JOURNAL OF MATHEMATICAL INEQUALITIES, v.15, no.1, pp.333 - 347
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF MATHEMATICAL INEQUALITIES
Volume
15
Number
1
Start Page
333
End Page
347
URI
https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142193
DOI
10.7153/jmi-2021-15-25
ISSN
1846-579X
Abstract
In this paper, we introduce a new form of the multi-quartic mappings and then unify the system of functional equations defining a multi-Jensen-quartic mapping to a single equation. Applying a fixed point theorem. we study the generalized flyers-Ulan) stability of multi-Jensen-quartic mappings. We present a few corollaries corresponding to some known stability outcomes on the multi-quartic and the multi-Jensen-quartic functional equations.
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