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On fixed figure problems in fuzzy metric spaces

Dhananjay Gopal, Juan Martínez-Moreno, Nihal Özgür (2023)

Kybernetika

Fixed circle problems belong to a realm of problems in metric fixed point theory. Specifically, it is a problem of finding self mappings which remain invariant at each point of the circle in the space. Recently this problem is well studied in various metric spaces. Our present work is in the domain of the extension of this line of research in the context of fuzzy metric spaces. For our purpose, we first define the notions of a fixed circle and of a fixed Cassini curve then determine suitable conditions...

On fixed points.

S.P. Singh (1971)

Publications de l'Institut Mathématique [Elektronische Ressource]

On four intuitionistic fuzzy topological operators.

Krassimir T. Atanassov (2001)

Mathware and Soft Computing

Four new operators, which are analogous of the topological operators interior and closure, are defined. Some of their basic properties are studied. Their geometrical interpretations are given.

On FU( p )-spaces and p -sequential spaces

Salvador García-Ferreira (1991)

Commentationes Mathematicae Universitatis Carolinae

Following Kombarov we say that X is p -sequential, for p α * , if for every non-closed subset A of X there is f α X such that f ( α ) A and f ¯ ( p ) X A . This suggests the following definition due to Comfort and Savchenko, independently: X is a FU( p )-space if for every A X and every x A - there is a function f α A such that f ¯ ( p ) = x . It is not hard to see that p RK q ( RK denotes the Rudin–Keisler order) every p -sequential space is q -sequential every FU( p )-space is a FU( q )-space. We generalize the spaces S n to construct examples of p -sequential...

On function spaces of Corson-compact spaces

Ingo Bandlow (1994)

Commentationes Mathematicae Universitatis Carolinae

We apply elementary substructures to characterize the space C p ( X ) for Corson-compact spaces. As a result, we prove that a compact space X is Corson-compact, if C p ( X ) can be represented as a continuous image of a closed subspace of ( L τ ) ω × Z , where Z is compact and L τ denotes the canonical Lindelöf space of cardinality τ with one non-isolated point. This answers a question of Archangelskij [2].

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