Fixed Points in the Family of Convex Representations of a Maximal Monotone Operator
نویسنده
چکیده
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 exist a convex representation of the operator which is a fixed point of this conjugation. 2000 Mathematics Subject Classification: 47H05 keywords: maximal monotone operators, conjugation, convex functions ∗Partially supported by CNPq Grant 301200/93-9(RN) and by PRONEX– Optimization.
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