Approximation, solution operators and quantale-valued metrics
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DOI: 10.1007/s00010-017-0485-8
Abstract: A generalized solution operator is a mapping abstractly describing a computational problem and its approximate solutions. It assigns a set of $$\varepsilon $$ε-approximations of a solution to the problem instance f and accuracy of approximation… read more here.
Keywords: generalized solution; approximation solution; accuracy approximation; quantale valued ... See more keywords
Quantale-valued generalizations of approach spaces and quantale-valued topological spaces
Sign Up to like & getrecommendations! Published in 2019 at "Quaestiones Mathematicae"
DOI: 10.2989/16073606.2018.1516250
Abstract: Abstract We show that for certain quantales, the categories of quantale-valued gauge spaces and of quantale-valued approach system spaces are isomorphic to the category of quantale-valued bounded strong topological spaces. read more here.
Keywords: spaces quantale; generalizations approach; topological spaces; valued generalizations ... See more keywords