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

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, an...

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Detalhes bibliográficos
Autores: Movahednia, Ehsan, De la Sen Parte, Manuel
Formato: artículo
Fecha de publicación:2022
País:España
Recursos:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/59454
Acesso em linha:http://hdl.handle.net/10810/59454
Access Level:acceso abierto
Palavra-chave:intuitionistic fuzzy 2-normed space
Hyers–Ulam–Rassias stability
fuzzy mathematics
Descrição
Resumo: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.