On approximate solution of lattice functional equations in Banach &lt;i&gt;f&lt;/i&gt;-algebras

Movahednia, Ehsan; Cho, Young; Park, Choonkil; Paokanta, Siriluk

doi:10.3934/math.2020350

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2022

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“…Similarly, by changing the type of functional equation in the above theorem from additive to quadratic, cubic, Jensen, etc., or replacing the functional equation with a differential or integral equation, the conditions of the stability theorem have been investigated and proven. We refer readers to [4][5][6][7][8][9][10][11][12][13] references for consideration of the stability of various functional equations in different spaces.…”

Section: Introductionmentioning

confidence: 99%

Hyers Stability in Generalized Intuitionistic P-Pseudo Fuzzy 2-Normed Spaces

Movahednia¹,

Sen

2022

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In this article, we defined the generalized intuitionistic P-pseudo fuzzy 2-normed spaces and investigated the Hyers stability of m-mappings in this space. The m-mappings are interesting functional equations; these functional equations are additive for m = 1, quadratic for m = 2, cubic for m = 3, and quartic for m = 4. We have investigated the stability of four types of functional equations in generalized intuitionistic P-pseudo fuzzy 2-normed spaces by the fixed point method.

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