On characterizations of weakly e ∗ -continuity

Abstract

The aim of this paper is to investigate some of the fundamental properties of weakly e-continuous functions introduced by Ayhan and Ozko¸c in [3]. Moreover, several character- ¨ izations and some properties concerning weakly e-continuous functions are obtained. Then, we investigate relationships between weak e-continuity and some other types of continuity. Also, we investigate the relationships between weakly e-continuous functions and connect edness and graph of functions.

El objetivo de este trabajo es investigar algunas de las propiedades fundamentales de las funciones e-continuas d´ebilmente introducidas por Ayhan y Ozko¸c en [3]. Adem´as, se ¨ obtienen varias caracterizaciones y algunas propiedades relativas a funciones e-continuas d´ebilmente. Luego, investigamos las relaciones entre la dbil e-continuas d´ebil y algunos otros tipos de continuidad. Adem´as, investigamos las relaciones entre las funciones e-continuas d´ebilmente y la conectividad y gr´afica de funciones