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Fixed points in the family of convex representations of a maximal monotone operator |
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| Authors: | B F Svaiter |
| Institution: | IMPA Instituto de Matemática Pura e Aplicada, Estrada Dona Castorina 110, Rio de Janeiro--RJ, CEP 22460-320 Brazil |
| Abstract: | Any maximal monotone operator can be characterized by a convex function. The family of such convex functions is invariant under a transformation connected with the Fenchel-Legendre conjugation. We prove that there exists a convex representation of the operator which is a fixed point of this conjugation. |
| Keywords: | Maximal monotone operators conjugation convex functions |
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