Properties of interval operators
We give some properties of interval operators F which guarantee the convergence of the interval sequence \(\{X_ k\}\) defined by \(X_{k+1}:=F(X_ k)\cap X_ k\) to a unique fixed interval \(\hat X.\) This interval \(\hat X\) encloses the ''zero-set'' \(X^*\) of a function strip \(G(x):=[\underline g(x),\bar g(x)].\) For some known interval operators we investigate under which assumptions these properties are valid.
scientific article; zbMATH DE number 3947535