Solution and stability of an n-dimensional functional equation

In this paper, we prove the general solution and generalized Hyers-Ulam stability of n-dimensional functional equations of the form where n is a fixed positive integer with N-{0, 1, 2, 3, 4}, in a Banach space via direct and fixed point methods. © 2019 Walter de Gruyter GmbH, Berlin/Boston.

Authors
Pinelas S. 1 , Govindan V.2 , Tamilvanan K.3
Journal
Analysis (Germany)
Publisher
De Gruyter
Number of issue
3
Language
English
Pages
107-115
Status
Published
Link
External link
DOI
10.1515/anly-2018-0029
Volume
39
Year
2019
Organizations
  • 1 RUDN University, 6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation
  • 2 Department of Mathematics, Sri Vidya Mandir Arts and Science College, Uthangarai, Tamil Nadu, 636 902, India
  • 3 Department of Mathematics, Government Arts and Science College (For Men), Krishnagiri, Tamil Nadu, 635 001, India
Keywords
Additive functional equation; Banach spaces; fixed point; Hyers-Ulam stability
Date of creation
24.12.2019
Date of change
24.12.2019
Short link
https://repository.rudn.ru/en/records/article/record/54983/
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