Gδ-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.
In this paper, the concepts of m∗ r-fuzzy ˜g-open Fσ sets and m∗ -fuzzy basically disconnected spaces are introduced in the sense of Šostak and Ramadan. Some interesting properties and characterizations are studied. Tietze extension theorem for m∗ -fuzzy basically disconnected spaces is discussed.
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.
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.