Deterministic global optimization using space-filling curves and multiple estimates of Lipschitz and Holder constants

Daniela Lera, Yaroslav D. Sergeyev

In this paper, the global optimization problem ${\min }_{y\in S}F(y)$ with $S$ being a hyperinterval in ${\Re }^N$ and $F(y)$ satisfying the Lipschitz condition with an unknown Lipschit…