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A new generalization of contra-continuity via Levine’s g-closed sets

2006; Elsevier BV; Volume: 32; Issue: 4 Linguagem: Inglês

10.1016/j.chaos.2005.12.032

1873-2887

Miguel Caldas, Saeid Jafari, Takashi Noiri, Marilda A. Simões,

Advanced Topology and Set Theory

In [Dontchev J. Contra-continuous functions and strongly S-closed spaces. Int J Math Math Sci 1996;19:303–10], Dontchev introduced and investigated a new notion of continuity called contra-continuity. Recently, Jafari and Noiri [Jafari S, Noiri T. Contra-α-continuous functions between topological spaces. Iran Int J Sci 2001;2:153–67, Jafari S, Noiri T. Contra-super-continuous functions. Ann Univ Sci Budapest 1999;42:27–34, Jafari S, Noiri T. On contra-precontinuous functions. Bull Malaysian Math Sci Soc 2002;25(2):115–28] introduced new generalizations of contra-continuity called contra-α-continuity, contra-super-continuity and contra-precontinuity. In this paper, we introduce and investigate a generalization of contra-continuity by utilizing Levine's generalized closed sets.