A system of biadditive functional equations in Banach algebras. Issue 1 (31st December 2023)

• Record Type: Journal Article
• Authors: Sayyari, Yamin; Dehghanian, Mehdi; Park, Choonkil
• Is Part Of: Applied mathematics in science and engineering. Volume 31:Issue 1(2023)
• Publication Date: 2023-12-31
• Subjects: Hyers–Ulam stability -- biadditive mapping -- f-biderivation -- fixed point method -- system of biadditive functional equations; Primary 47B47 -- 17B40 -- 39B72 -- 47H10; Science -- Mathematics -- Periodicals; Engineering mathematics -- Periodicals; Applied mathematics -- Periodicals; 501.51
• DOI: 10.1080/27690911.2023.2176851
• Languages: English
• ISSNs: 2769-0911

Abstract

Abstract : In this paper, we obtain the general solution and the Hyers-Ulam stability of the system of biadditive functional equations 1 { 2 f ( x + y, z + w ) − g ( x, z ) − g ( x, w ) = g ( y, z ) + g ( y, w ) g ( x + y, z + w ) − 2 f ( x − y, z − w ) = 4 f ( x, w ) + 4 f ( y, z ) in complex Banach spaces. Furthermore, we prove the Hyers–Ulam stability of f -biderivations in complex Banach algebras.