Nakaoka and Oda ([9] and [10]) introduced the notion of maximal open sets and minimal closed sets. In this paper, we introduce new classes of sets called maximal βθ-open sets, minimal βθ-closed sets, βθ-semi maximal open sets and βθ-semi minimal closed sets and investigate some of their fundamental properties.
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The concept of semi δs-irresolute function in topological spaces is introduced and studied. Some of their characteristic properties are considered. Also we investigate the relationships between these classes of functions and other classes of noncontinuous functions.
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In [4], Dontchev introduced and investigated a new notion of continuity called contra-continuity. Recently, Jafari and Noiri ([8], [9], [10]) introduced new generalization of contra-continuity called contra-super-continuity, contra-(…)-continuity and contra-precontinuity. It is the objective of this paper to introduce and study a new class of contra-continuous functions via (…)-closed sets.
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The aim of this paper is to introduce and characterize a new class of functions called quasi-δ-β-continuous functions in ideal topological spaces by using δ-β-open sets.
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In this paper, we introduce and study a new class of functions by using the notions of b-θ-open sets and b-θ-closure operator called weakly BR-open functions. The connections between this function and the other existing topological functions are studied.
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In 1996, Dontchev [14] introduced and investigated a new notion of non-continuity called contra-continuity. Recently, Baker et al. [6] offered a new generalization of contra-continuous functions via λ-closed sets, called almost contra λ-continuous functions. It is the objective of this paper to further study some more properties of such functions.
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In this paper we introduce and study the concepts of g-lambda alfa-continuous maps, g-lambda alfa-irresolute maps and g-lambda alfa-closed maps by using generalized lambda alfa-sets and generalized Valfa-sets.
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