Connection between aronshain trees and nonmetrizable ?0-monolithic linearly ordered bicompacta, satisfying the first countability axiom

1983 ◽  
Vol 23 (4) ◽  
pp. 580-589
Author(s):  
G. I. Chertanov
Keyword(s):  
Countability Axiom

Cardinality of bicompacta with the weak first countability axiom

1982 ◽  
Vol 32 (2) ◽  
pp. 610-614 ◽  
Author(s):  
V. I. Malykhin
Keyword(s):  
Countability Axiom

Weakly uniform bases and the first countability axiom

1986 ◽  
Vol 40 (3) ◽  
pp. 694-699
Author(s):  
S. A. Peregudov
Keyword(s):  
Countability Axiom

scholarly journals Some interesting results on F-metric spaces

Filomat ◽  
2019 ◽  
Vol 33 (10) ◽  
pp. 3257-3268 ◽  
Author(s):  
Ashis Beraz ◽  
Hiranmoy Garai ◽  
Bosko Damjanovic ◽  
Ankush Chanda
Keyword(s):  
Fixed Point ◽  
Open Problem ◽  
Metric Spaces ◽  
Distance Functions ◽  
Contractive Mappings ◽  
Open Set ◽  
Altering Distance ◽  
Contractive Type ◽  
Countability Axiom

In this manuscript, we prove that the newly introduced F-metric spaces are Hausdorff and first countable. We investigate some interrelations among the Lindel?fness, separability and second countability axiom in the setting of F-metric spaces. Moreover, we acquire some interesting fixed point results concerning altering distance functions for contractive type mappings and Kannan type contractive mappings in this exciting context. In addition, most of the findings are well-furnished by several non-trivial examples. Finally, we raise an open problem regarding the structure of an open set in this setting.

Sign in / Sign up

Export Citation Format

Share Document