-separation axioms in ordered fuzzy topological spaces
-separation axioms are introduced in ordered fuzzy topological spaces and some of their basic properties are investigated besides establishing an analogue of Urysohn’s lemma.
-fuzzy basically disconnected spaces in smooth fuzzy topological spaces
In this paper, the concepts of -fuzzy -open sets and -fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for -fuzzy basically disconnected spaces is discussed.
Contra -continuity in smooth fuzzy topological spaces
In this paper the concept of fuzzy contra -continuity in the sense of A. P. Sostak (1985) is introduced. Some interesting properties and characterizations are investigated. Also, some applications to fuzzy compact spaces are established.
Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces
In this paper a new class of fuzzy topological spaces called pairwise ordered fuzzy extremally disconnected spaces is introduced. Tietze extension theorem for pairwise ordered fuzzy extremally disconnected spaces has been discussed as in the paper of Kubiak (1987) besides proving several other propositions and lemmas.
Urysohn’s lemma, gluing lemma and contraction mapping theorem for fuzzy metric spaces
In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.
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