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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 [1].

- Erdal Ekici, Takashi Noiri, E. Ekici, T. Noiri
- 2009

In this paper we study the notion of connectedness in ideal topological spaces.

- Erdal Ekici
- 2003

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.

- Erdal Ekici
- 2012

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.

- Erdal Ekici, Jin-Han Park
- Int. J. Fuzzy Logic and Intelligent Systems
- 2005

- Erdal Ekici
- 2005

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)

- E. EKICI
- 2004

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)

- Erdal Ekici, Saeid Jafari
- 2010

In [2], 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 [1]. In [2], Arhangel'ski˘ ı introduced the notions of "… (More)

- Crump W. Baker, Erdal Ekici
- Int. J. Math. Mathematical Sciences
- 2006

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.

- Erdal Ekici
- 2005

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.