On regular semimetric spaces having strong triangle functions

2016 ◽  
Vol 19 (3) ◽  
pp. 2069-2079 ◽  
Author(s):  
Nguyen Van Dung ◽  
Vo Thi Le Hang
Keyword(s):  
Semimetric Spaces ◽  
Triangle Functions

On convex triangle functions

1983 ◽  
Vol 26 (1) ◽  
pp. 191-196 ◽  
Author(s):  
Claudi Alsina
Keyword(s):  
Triangle Functions

On a class of non-causal triangle functions

1989 ◽  
Vol 106 (3) ◽  
pp. 467-469
Author(s):  
M. S. Ying
Keyword(s):  
Dense Subset ◽  
Triangle Function ◽  
Triangle Functions

In [2], B. Schweizer and A. Sklar proposed the problem of whether every triangle function is causal. In [1], T. B. M. McMaster solved the problem negatively by giving an example of a non-causal triangle function. In this note we provide a class of simpler non-causal triangle functions which are continuous on a dense subset of Δ+ but in general not continuous on Δ+. Since McMaster's triangle function is also not continuous on Δ+, the problem of determining whether or not every continuous triangle function is causal remains open.

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.

scholarly journals Probabilistic-valued decomposable set functions with respect to triangle functions

2015 ◽  
Vol 295 ◽  
pp. 347-357 ◽  
Author(s):  
Jana Borzová-Molnárová ◽  
Lenka Halčinová ◽  
Ondrej Hutník
Keyword(s):  
Set Functions ◽  
Decomposable Set ◽  
Triangle Functions
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