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Solution of the Ulam stability problem for Euler–Lagrange–Jensen k ‐quintic mappings
Author(s) -
Mohiuddine S. A.,
Rassias John Michael,
Alotaibi Abdullah
Publication year - 2016
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4217
Subject(s) - mathematics , quintic function , stability (learning theory) , euler's formula , space (punctuation) , type (biology) , normed vector space , mathematical analysis , pure mathematics , nonlinear system , computer science , ecology , physics , quantum mechanics , machine learning , biology , operating system
In this paper, we are introducing pertinent Euler–Lagrange–Jensen type k ‐quintic functional equations and investigate the ‘Ulam stability’ of these new k ‐quintic functional mappings f : X → Y , where X is a real normed linear space and Y a real complete normed linear space. We also solve the Ulam stability problem for Euler–Lagrange–Jensen alternative k ‐quintic mappings. Copyright © 2016 John Wiley & Sons, Ltd.