Weak Similarities of Finite Ultrametric and Semimetric Spaces

2018 ◽  
Vol 10 (2) ◽  
pp. 108-117 ◽  
Author(s):  
Evgeniy Petrov
Keyword(s):  
Semimetric Spaces

scholarly journals Jachymski-Matkowski-Świątkowski's fixed point theorem

2019 ◽  
Vol 13 (2) ◽  
pp. 632-642
Author(s):  
Tomonari Suzuki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Additional Assumption ◽  
Semimetric Spaces

We improve Jachymski-Matkowski-?wi?tkowski's fixed point theorem for contractions in semimetric spaces with some additional assumption. We prove another fixed point theorem for contractions.

On characterizations and topology of regular semimetric spaces

2018 ◽  
Vol 93 (1-2) ◽  
pp. 87-105 ◽  
Author(s):  
Katarzyna Chrzaszcz ◽  
Jacek Jachymski ◽  
Filip Turobos
Keyword(s):  
And Topology ◽  
Semimetric Spaces

scholarly journals Characterization of  ∑-Semicompleteness via Caristi’s Fixed Point Theorem in Semimetric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Tomonari Suzuki
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Banach Contraction Principle ◽  
Caristi’S Fixed Point Theorem ◽  
Banach Contraction ◽  
Semimetric Spaces ◽  
The Banach Contraction Principle ◽  
Caristi's Fixed Point Theorem

Introducing the concept of ∑-semicompleteness in semimetric spaces, we extend Caristi’s fixed point theorem to ∑-semicomplete semimetric spaces. Via this extension, we characterize ∑-semicompleteness. We also give generalizations of the Banach contraction principle.

On K-Semimetric Spaces

1979 ◽  
Vol 73 (1) ◽  
pp. 126
Author(s):  
Dennis K. Burke
Keyword(s):  
Semimetric Spaces
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