A note on (I, J)-e-continuous and (I, J)-e ∗ -continuous functions

In this paper the notions of I-e-open set and I-e∗-open set are introduced and used to define a large number of modifications of the concept of continuous function, such as (I, J)-e-continuous functions, (I, J)-e∗-continuous functions, contra (I, J)-e-continuous functions, contra (I, J)-e∗-continuou...

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Autores:
Rosas, Ennis
Carpintero, Carlos
Sanabria, José
Salas, Margot
Vásquez, Luis
Tipo de recurso:
Article of investigation
Fecha de publicación:
2023
Institución:
Corporación Universitaria del Caribe - CECAR
Repositorio:
Repositorio Digital CECAR
Idioma:
eng
OAI Identifier:
oai:repositorio.cecar.edu.co:cecar/10811
Acceso en línea:
https://repositorio.cecar.edu.co/handle/cecar/10811
Palabra clave:
Topological ideal,
(I, J)-e-continuous functions
(I, J)-e ∗ -continuous functions
Contra (I, J)-e-continuous functions
Almost contra (I, J)-e ∗ -continuous functions
Rights
openAccess
License
Derechos Reservados. Corporación Universitaria del Caribe – CECAR
Description
Summary:In this paper the notions of I-e-open set and I-e∗-open set are introduced and used to define a large number of modifications of the concept of continuous function, such as (I, J)-e-continuous functions, (I, J)-e∗-continuous functions, contra (I, J)-e-continuous functions, contra (I, J)-e∗-continuous functions, almost weakly (I, J)-e-continuous functions, almost weakly (I, J)-e∗-continuous functions, almost (I, J)-e-continuous functions, almost (I, J)-e∗ -continuous functions, almost contra (I, J)-econtinuous functions and almost contra (I, J)-e∗-continuous functions. Also, several characterizations of these new classes of functions are given and finally relations between them are investigated.