Stability of Complex Functional Equations in 2-Banach Spaces

Автор(и)

  • Anshul Rana School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India
  • Ravinder Kumar Sharma School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India
  • Sumit Chandok School of Mathematics, Thapar Institute of Engineering & Technology, Patiala-147004, India

DOI:

https://doi.org/10.15407/mag17.03.341

Ключові слова:

2-нормованi простори, 2-банаховi простори, стiйкiсть Хайерса–Улама–Рассiаса, адитивне вiдображення, квадратичне рiвняння

Анотація

У роботi ми одержуємо деякi результати для стiйкостi Хайерса–Улама наступних рiвнянь

q(x + iy) + q(xiy) + q(y + ix) + q(yix) = 2q(x) + 2q(y)

і

q(x + iy) + q(xiy) + q(y + ix) + q(yix) = 0

за у 2-банахових просторах.

Mathematics Subject Classification: 39B32, 39B72, 39A45

Посилання

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Rana, A.; Sharma, R. K.; Chandok, S. Stability of Complex Functional Equations in 2-Banach Spaces. Журн. мат. фіз. анал. геом. 2021, 17, 341-368.

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