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arXiv · 2112.14498

An iteration scheme for monotone operators in Hilbert spaces

Olavi Nevanlinna
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Abstract

We give an iteration scheme for finding zeros of maximal monotone operators in Hilbert spaces. We assume that the operator is defined in the whole space. The iterates converge strongly to a solution if there exists any, otherwise they tend to infinity. As an application we get a strongly convergent minimization scheme for convex functionals in Hilbert spaces.

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Olavi Nevanlinna. 2021-12-29. An iteration scheme for monotone operators in Hilbert spaces. https://arxiv.org/abs/2112.14498

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