Stabilities of mixed type Quintic-Sextic functional equations in various normed spaces

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Abstract

In this paper, we introduce ”Mixed Type Quintic - Sextic functional equations” and then provide their general
solution, and prove generalized Ulam - Hyers stabilities in Banach spaces and Fuzzy normed spaces, by using
both the direct Hyers - Ulam method and the alternative fixed point method.

Keywords:

Quintic functional equation, sextic functional equation, mixed type quintic - sextic functional equation, generalized Ulam - Hyers stability, Banach space, Fuzzy Banach space, Hyers - Ulam method, alternative fixed point method

Mathematics Subject Classification:

Mathematics
  • John Micheal Rassias Pedagogical Department - Mathematics and Informatics, The National and Kapodistrian University of Athens,4, Agamemnonos Str., Aghia Paraskevi, Athens 15342, Greece.
  • Elumalai Sathya Department of Mathematics, Shanmuga Industries Arts and Science College, Tiruvannamalai - 606 603, TamilNadu, India.
  • Mohan Arunkumar Department of Mathematics, Government Arts College, Tiruvannamalai - 606 603, TamilNadu, India.
  • Pages: 217-243
  • Date Published: 01-01-2021
  • Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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Published

01-01-2021

How to Cite

John Micheal Rassias, Elumalai Sathya, and Mohan Arunkumar. “Stabilities of Mixed Type Quintic-Sextic Functional Equations in Various Normed Spaces”. Malaya Journal of Matematik, vol. 9, no. 01, Jan. 2021, pp. 217-43, https://www.malayajournal.org/index.php/mjm/article/view/1006.

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Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)

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