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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.
In this paper we study the notion of connectedness in ideal topological spaces. AMS Mathematics Subject Classification (2000): 54A10, 54A05, 54A20
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)
It is the objective of this paper to introduce a new class of generalizations of continuous functions via λ-open sets called weakly λcontinuous functions. Moreover, we study some of its fundamental properties. It turns out that weak λ-continuity is weaker than λ-continuity . AMS Mathematics Subject Classification (2000): 54C10, 54D10
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. 2000 Mathematics Subject Classification: 54A05,… (More)
In this paper, by using operations, some characterizations and some properties of fuzzy lower and upper continuous multifunctions 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 lower… (More)
In this paper, the concept of completely N-continuous multifunction is defined and their basic characterizations and properties are obtained.
Almost contra-precontinuous functions were introduced by Ekici  and recently have been investigated further by Noiri and Popa . The purpose of this note is to develop some new characterizations of almost contra-precontinuous functions and to introduce a new weak form of almost contra-precontinuity, which we call subalmost contraprecontinuity. It is… (More)