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Öğe DECOMPOSITION OF (1,2)*-CONTINUITY AND (1,2)*-alpha-CONTINUITY(UNIV MISKOLC INST MATH, 2009) Ravi, O.; Thivagar, M. Lellis; Hatir, E.In this paper, we introduce new types of sets called (1, 2)*-D(alpha, p) sets, (1, 2)*-D(alpha, s) sets, (1, 2)*-D(c, alpha) sets, (1, 2)*-D(c, s) sets and (1, 2)*-D(c, p) sets new classes of mappings called (1, 2)*-D(alpha, p)continuous, (1, 2)*-D(alpha, s) continuous, (1, 2)*-D(c, alpha) continuous, (1, 2)*-D(c, s) continuous and (1, 2)*-D(c, p) continuous mappings. We obtain several characterizations of these classes, study their bitopological properties, and investigate their relation with other bitopological sets and mappings.Öğe On delta-beta-continuous functions(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Hatir, E.; Noiri, T.In Hatir and Noiri [Hatir E, Noiri T. Decompositions of continuity and complete continuity. Acta Math Hungary 113(4); 2006: 281-287], delta-beta-continuity has given to obtain a decomposition of continuity. In this paper, we investigate the properties of delta-beta-continuous functions and discuss characterizations and the relationships with related functions. (C) 2008 Elsevier Ltd. All rights reserved.Öğe On fuzzy pre-I-open sets and a decomposition of fuzzy I-continuity(PERGAMON-ELSEVIER SCIENCE LTD, 2009) Nasef, Arafa A.; Hatir, E.Recently, El-Naschie has shown that the notion of fuzzy topology may be relevant to quantum particle physics in connection with string theory and E-infinity space time theory. In this paper, we introduce and study the notion of fuzzy pre-I-open sets, which is properly placed between fuzzy openness and fuzzy pre-openness regardless the fuzzy topological ideal. Moreover, we give a decomposition of fuzzy I-continuity by proving that a function f: (X, tau, I) -> (Y, sigma) is fuzzy I-continuous if and only if it is fuzzy pre-I-continuous and fuzzy *-I-coiltinuous. (C) 2009 Published by Elsevier Ltd.Öğe On Hausdorff spaces via ideals and semi-I-irresolute functions(2009) Hatir, E.; Noiri, T.We introduce the notion of semi-I-Hausdorff spaces which is weaker than Hausdorff spaces and independent both I-Hausdorff and quasi-I-Hausdorff.