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Öğe A note on almost ?-semicontinuous functions(Soc Paranaense Matematica, 2008) Ekici, Erdal; Noiri, TakashiIn this note, we obtain some improvements of results established on delta-semicontinuous functions in [3] and show that a function in [3] and show that a function f : (X, tau) -> (Y, sigma) is almost delta-semicontinuous if and only if f : (X, tau(s)) -> (Y, sigma(s)) is semi-continuous, where tau(s) and sigma(s) are the semiregularizations of tau and sigma, respectively.Öğe Decompositions of continuity, ?-continuity and AB-continuity(Pergamon-Elsevier Science Ltd, 2009) Ekici, Erdal; Noiri, TakashiThe aim of this paper is to introduce the classes of alpha AB-sets, AC-sets and BC-sets which are weaker forms of AB-sets, AS-sets, S-sets and AC-sets, respectively. The relationships of between alpha AB-sets and the related sets and between AC-sets and BC-sets are discussed. By using alpha AB-sets, AC-sets, BC-sets and the related sets, new decompositions of alpha AB-continuity, alpha-continuity, continuity and AB-continuity are provided. (C) 2008 Elsevier Ltd. All rights reserved.Öğe ?-HYPERCONNECTED IDEAL TOPOLOGICAL SPACES(Univ Al I Cuza, Fac Math, 2012) Ekici, Erdal; Noiri, TakashiThe aim of this paper is to introduce and study star-hyperconnected ideal topological spaces. Characterizations and properties of star-hyperconnected ideal topological spaces are investigated.Öğe On ??-continuous functions(Walter de Gruyter GmbH, 2005) Ekici, Erdal; Noiri, TakashiThe aim of this paper is to introduce and study ??-continuous functions as a generalization of preirresoluteness, ?-precontinuity, ?-irresoluteness, ?-irresoluteness, irresoluteness and semi ?-irresoluteness. Furthermore, basic characterizations, preservation theorems and several properties concerning ??-continuous functions are investigated. The relationships between ??-continuous functions and the other types of continuity are also discussed. © 2005 Warsaw University. All rights reserved.Öğe On some new decompositions of continuity(Walter de Gruyter GmbH, 2008) Ekici, Erdal; Noiri, TakashiThe main purpose of this paper is to introduce the concepts of D(?,?s)-sets, D(c, ?p)-sets, D(?, ?p)-sets, D(?, ?s)-continuity, D(c, ?p)-continuity, D(?, ?p)-continuity and to obtain new decompositions of continuity and super-continuity. © 2008 Warsaw University. All rights reserved.Öğe ON SUBSETS AND DECOMPOSITIONS OF CONTINUITY IN IDEAL TOPOLOGICAL SPACES(Springer Heidelberg, 2009) Ekici, Erdal; Noiri, TakashiWe define new classes of sets called beta*-I-open set, pre*-I-open set, strongly t-I-set, beta*-t-I-set, strongly B-I-set, B*-I-set, strongly alpha-I-open set, and S-alpha-I-set in ideal topological spaces. Also, we obtain new decompositions of continuity in ideal topological spaces.Öğe ON UPPER AND LOWER CONTRA-CONTINUOUS MULTIFUNCTIONS(Univ Al I Cuza, Fac Math, 2008) Ekici, Erdal; Jafari, Saeid; Noiri, TakashiIn 1996, DONTCHEV [4] introduced and investigated the notion of contra-continuity. In this paper we introduce and study the basic properties of upper (lower) contra-continuous multifunctions.Öğe PROPERTIES OF I-SUBMAXIMAL IDEAL TOPOLOGICAL SPACES(Univ Nis, Fac Sci Math, 2010) Ekici, Erdal; Noiri, TakashiIn [2], the notion of I-submaximal ideal topological spaces is introduced and studied. In this paper, several characterizations and further properties of I-submaximal ideal topological spaces are obtained.Öğe {star operator}-hyperconnected ideal topological spaces(Universitatii Al.I.Cuza din Iasi, 2012) Ekici, Erdal; Noiri, TakashiThe aim of this paper is to introduce and study {star operator}-hyperconnected ideal topological spaces. Characterizations and properties of {star operator}-hyperconnected ideal topological spaces are investigated.
