The main aim of this paper is to introduce and study a new class of weakly open functions called weakly e*-θ-open functions via e*-θ-open sets [13], which is a stronger concept than weakly e*-open functions [22]. Moreover, we obtain various characterizations of weakly e*-θ-open functions and investigate some of their fundamental properties. In additon, we investigate not only the relationships of these functions with some othertypes of existing topological functions, but also several basic results related to connectedness, e*θ-connectedness [5] and hyperconnectedness [18].

We introduce and investigate a new class of functions called almost strongly θ-e-continuous functions, containing the classes of almost strongly θ-precontinuous [

No abstract

The main goal of this paper is to introduce and investigate a new class of functions called almost e * -continuous functions containing the class of almost e-continuous functions defined byÖzkoç and Kına. Several characterizations concerning almost e * -continuous functions are obtained. Furthermore, we investigate the relationships between almost e * -continuous functions and separation axioms and almost e * -closedness of graphs of functions. c 2016 all rights reserved.

The aim of this paper is to introduce and investigate some of the fundamental properties of generalized e-continuous functions and generalized e-irresolute functions via generalized e-closed sets which are defined by us. The concept of ge-continuity is weaker than gp-continuity introduced by I. Arokiarani et al.[2] but it is independent with gb-continuity introduced by A. A. Omari and M. S. M. Noorani [10]. We obtain some properties about ge-closed sets and ge-continuous functions and ge-irresolute functions.