varrho-contraction and 2 × 2 matrix Original Research Article

In this paper, the following is proved. When aless-than-or-equals, slant1 and bless-than-or-equals, slant1, image is a g9-contraction if and only if image where D is the open unit disc. The result is then extended to quadratic operators. Several special cases of the result are analysed in detail.