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It is the objective of this paper to introduce a new class of generalizations of continuous functions via λ-open sets called weakly λ-continuous functions. Moreover, we study some of its fundamental properties. It turns out that weak λ-continuity is weaker than λ-continuity .
In this paper we study the notion of connectedness in ideal topological spaces.
In this paper, the directional lower and upper derivatives of the maxmin function are investigated by using the directional lower and upper derivative sets of the max-min set valued map. Sufficient conditions ensuring the existence of the directional derivative of the max-min function are obtained.
The aim of this paper is to investigate some properties of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces. Some relationships of pre-I-open sets, semi-I-open sets and b-I-open sets in ideal topological spaces are discussed. Moreover, decompositions of continuity are provided.
In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous mul-tifunctions and its weaker and stronger forms including fuzzy lower and upper weakly continuous, fuzzy lower and upper θ-continuous, fuzzy lower and upper strongly θ-continuous, fuzzy lower and upper almost strongly θ-continuous, fuzzy… (More)
Erdal Ekici has introduced and studied nearly continuous multifunctions [Acta Math. Univ. Comenianae, Vol. LXXII, 2 (2003), pp. 1–7]. The purpose of the present paper is to introduce and study upper and lower almost nearly continuous multifunctions as a weaker form of upper and lower nearly continuous multifunctions. Basic characterizations, several… (More)
In , Arhangel'ski˘ ı introduced the notion of ω-closed sets in relation to countable tightness. This paper deals with a class of sets called ω *-closed sets and its topology which is stronger than the class of ω-closed sets due to Arhangel'ski˘ ı. The word tightness was first introduced in . In , Arhangel'ski˘ ı introduced the notions of "… (More)
New characterizations of almost contra-precontinuity are presented. These characterizations are used to develop a new weak form of almost contra-precontinuity. This new weak form is then used to extend several results in the literature concerning almost contra-precontinuity.
In this paper, the concept of completely N-continuous multifunction is defined and their basic characterizations and properties are obtained. Resumen En este artículo se define el concepto de multifunción completamente N-continua y se obtienen su caracterización y propiedades básicas. Palabras y frases clave: N-continuidad completa, multifunción.