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    A generalized class of ?* in ideal spaces
    (Univ Nis, Fac Sci Math, 2013) Ekici, Erdal; Ozen, Sena
    In this paper, a generalized class of tau* called weakly I-rg-open sets in ideal topological spaces is introduced and the notion of weakly I-rg-closed sets in ideal topological spaces is studied. The relationships of weakly I-rg-closed sets and various properties of weakly I-rg-closed sets are investigated.
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    A new approach in topology via elements of an ideal
    (Univ Tartu Press, 2019) Ekici, Erdal
    New approaches in topology or related branches of mathematics have contributed in a valuable way to the science, and have yielded various new topics for investigation. The main goal of this paper is to examine a new approach and so a new form of open sets via elements of an ideal. The concept of alpha(I)*-open sets is introduced and discussed.
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    A new collection which contains the topology via ideals
    (Elsevier Science Bv, 2018) Ekici, Erdal
    In 1999, Dontchev studied the concept of pre-I-open sets (Dontchev, 1999). In 2002, Hatir and Noiri studied the concept of semi-I-open sets (Hatir and Noiri, 2002). In 2013, Ekici studied the concept of C-I*-sets (Ekici, 2013). In this paper, the concept of zeta-I-open sets is introduced. The concept of zeta-I-open sets is related to topology, pre-I-open sets, semi-I-open sets and C-I*-sets. Main properties of zeta-I-open sets are presented. (C) 2017 Ivane Javakhishvili Tbilisi State University. Published by Elsevier B.V.
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    A NOTE ON a-OPEN SETS AND e*-OPEN SETS
    (Univ Nis, Fac Sci Math, 2008) Ekici, Erdal
    The aim of this paper is to investigate some properties of a-open sets and e*-open sets in topological spaces.
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    A note on almost ?-continuous functions
    (Pergamon-Elsevier Science Ltd, 2009) Ekici, Erdal
    In this paper, we study the relationships between almost beta-continuous functions and continuous and almost continuous functions. (C) 2008 Elsevier Ltd. All rights reserved.
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    A note on almost ?-semicontinuous functions
    (Soc Paranaense Matematica, 2008) Ekici, Erdal; Noiri, Takashi
    In 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.
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    Completely N-continuous multifunctions
    (2005) Ekici, Erdal
    In this paper, the concept of completely N-continuous multifunction is defined and their basic characterizations and properties are obtained.
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    Decompositions of continuity, ?-continuity and AB-continuity
    (Pergamon-Elsevier Science Ltd, 2009) Ekici, Erdal; Noiri, Takashi
    The 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.
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    Further new generalized topologies via mixed constructions due to Császár
    (Akademie ved Ceske Republiky, 2015) Ekici, Erdal
    The theory of generalized topologies was introduced by Á.Császár (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to Á.Császár. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by Á.Császár (2009). The main aim of this paper is to introduce and study further new generalized topologies called ?12 C via mixed constructions based on two generalized topologies ?1 and ?2 on a nonempty set X and also generalized topologies called ?C and ?* C for a generalized topological space (X, ?). © 2015, Akademie ved Ceske Republiky. All rights reserved.
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    FURTHER NEW GENERALIZED TOPOLOGIES VIA MIXED CONSTRUCTIONS DUE TO CSASZAR
    (Inst Mathematics, As Cr, 2015) Ekici, Erdal
    The theory of generalized topologies was introduced by A. Casaszar (2002). In the literature, some authors have introduced and studied generalized topologies and some generalized topologies via generalized topological spaces due to A. Casaszar. Also, the notions of mixed constructions based on two generalized topologies were introduced and investigated by A. Casaszar (2009). The main aim of this paper is to introduce and study further new generalized topologies called mu(C)(12) via mixed constructions based on two generalized topologies mu(1) and mu(2) on a nonempty set X and also generalized topologies called mu(C) and mu(C)(*) for a generalized topological space (X, mu).
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    Generalization of weakly clopen and strongly ?-b-continuous functions
    (Pergamon-Elsevier Science Ltd, 2008) Ekici, Erdal
    In this paper, we introduce a new class of functions called weakly BR-continuous function including the classes of strongly theta-b-continuous functions due to Park [Park JH. Strongly theta-b-continuous functions. Acta Math Hungar 2006; 110(4):347-59] and weakly clopen functions due to Son et al. [Son MJ, Park JH, Lim KM. Weakly clopen functions. Chaos, Solitons & Fractals 2007;33:1746-55]. Characterizations and properties of the class of weakly BR-continuous functions are investigated. Moreover, the relationships among weakly BR-continuous functions, strongly theta-b-continuous functions, weakly clopen functions and the related functions are investigated. (c) 2008 Elsevier Ltd. All rights reserved.
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    ?-HYPERCONNECTED IDEAL TOPOLOGICAL SPACES
    (Univ Al I Cuza, Fac Math, 2012) Ekici, Erdal; Noiri, Takashi
    The 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.
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    New forms of contra-continuity
    (North Univ Baia Mare, 2008) Ekici, Erdal
    We introduced and studied the notions of contra e*-continuous functions, contra e-continuous functions and contra a-continuous functions via e*-open sets, e-open sets and a-open sets, respectively. Some properties and several characterizations of these types of functions are investigated.
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    ON (?,?)-CLOSED SETS IN GENERALIZED TOPOLOGICAL SPACES
    (Inst Mathematics, 2011) Roy, Bishwambhar; Ekici, Erdal
    In this paper, we introduce and study (Lambda, mu)-open sets and (Lambda, mu)-closed sets via mu-open and mu-closed sets in generalized topological spaces. Moreover, we introduce some generalized separation axioms in generalized topological spaces.
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    On (g)over-tilde-Semi-Homeomorphism in Topological Spaces
    (Univ Craiova, 2006) Rajesh, Neelamegarajan; Ekici, Erdal; Thivagar, Mariam Lellis
    In this paper, we first introduce a new class of closed maps called (g) over tildes-closed maps also introduce a new class of homeomorphisms called (g) over tildes*-homeomorphisms and prove that the set of all (g) over tildes*-homeomorphisms forms a group under the operation composition of maps.
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    On (LC,s)-continuous functions
    (Pergamon-Elsevier Science Ltd, 2008) Ekici, Erdal
    A weak form of contra-continuity, LC-continuity and almost continuity, called (LC,s)-continuity, is introduced. We discuss characterizations and the relationships with the related functions. Also, we investigate properties of (LC,s)-continuous functions. (C) 2006 Elsevier Ltd. All rights reserved.
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    ON ?-(1,2)-SEMI-PREGENERALIZED CLOSED SETS
    (Univ Nis, Fac Sci Math, 2008) Ponmani, S. Athisaya; Rajeswari, R. Raja; Thivagar, M. Lellis; Ekici, Erdal
    The aim of this paper is to introduce the notion of theta-(1,2)-semi-pregeneralized closed set in bitopological space and study its properties.
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    On ?-normal spaces
    (Soc Matematice Romania, 2007) Ekici, Erdal
    The aim of this paper is to introduce and study a new class of spaces, called gamma-normal spaces. The relationships among s-normal spaces, p-normal spaces and gamma-normal spaces are investigated. Moreover, we introduce the forms of generalized gamma-closed functions. We obtain characterizations of gamma-normal spaces, properties of the forms of generalized gamma-closed functions and preservation theorems.
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    On ?-Semiopen Sets And A Generalization Of Functions
    (Soc Paranaense Matematica, 2005) Ekici, Erdal
    In this paper, we introduce and investigate a weaker form of R-maps and delta-continuous functions which is called almost delta-semicontinuity. We obtain its characterizations, its basic properties and their relationships with other types of functions between topological spaces.
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    On ??-continuous functions
    (Walter de Gruyter GmbH, 2005) Ekici, Erdal; Noiri, Takashi
    The 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.