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Fixed Point Theory and Algorithms for Sciences and Engineering
Figure 1 | Fixed Point Theory and Applications

Figure 1

From: A new proof of a theorem of Hubbard and Oberste-Vorth

Figure 1

A neighborhood U of the Julia set of \(\pmb{p(z)=z^{2}-1}\) . The attracting cycle is \(\{-1,0\}\) and Δ is a union of two small disks centered around the points of this cycle. The set U (dark gray) is the complement of Δ̅ inside an equipotential of p, while \(U'=p^{-1}(U)\) (light gray).

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