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arXiv · 2406.01041

Compositions of Resolvents: Fixed Points Sets and Set of Cycles

Salihah Thabet Alwadani
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Abstract

In this paper, we investigate the cycles and fixed point sets of compositions of resolvents using Attouch Th\'era duality. We demonstrate that the cycles defined by the resolvent operators can be formulated in Hilbert space as the solution to a fixed point equation. Furthermore, we introduce the relationship between these cycles and the fixed point sets of the composition of resolvents.

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Salihah Thabet Alwadani. 2024-06-03. Compositions of Resolvents: Fixed Points Sets and Set of Cycles. https://arxiv.org/abs/2406.01041

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