Functions almost contra-super-continuity in m-spaces

Abstract

In this article, we study a generalizations of some class of functions that are in relation with the notions of continuity when we use the notions of minimal structures also its are characterized. Moreover we show that the notion of m-e * -T 1/2 spaces, given by Ekici [6], is a particular case of the m-(e * )-T 1/2 spaces when its are defined using the notion of m-generalized closed sets.

Weakly (τq, m)-Continuous Functions

“…That is the m X -closure of every m X -open set is m X -open, then m X is m-extremely disconnected (see [40] Definition 3.14).…”

“…Popa and Noiri [30] introduced the notions of minimal structures. After this work, various mathematicians turned their attention in introducing and studying diverse classes of sets and functions defined on an structure, because this notions are a natural generalization of many well known results related with generalized sets and several weaker forms of continuity such as ( [20], [21], [32], [33], [40]). The notion of weakly M -continuous and weakly (τ, m)-continuous functions are introduced and studied by Popa and Noiri ([28], [29]) for unifying weak continuity types using minimal conditions.…”

gm-continuity on generalized topology and minimal structure spaces

“…In particular, he investigated characterizations for the general-ized continuous function by using a closure operator defined on generalized neighborhood systems. Recently, the concept of generalized topology and the concept of minimal structure have met the attention of many researchers (see Al-Omari and Noiri, 2013;Boonpok, 2010;Keun and Kim, 2011;Modak, 2013;Noiri and Popa, 2010;Va´squez et al, 2011;Zakari, 2013a,b;Zvina, 2011). Buadong et al (2011) introduced the notion of the generalized topology and minimal structure spaces (briefly GTMS).…”