Compositions of Resolvents: Fixed Points Sets and Set of Cycles
Functional Analysis
2024-06-04 v1
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.
Keywords
Cite
@article{arxiv.2406.01041,
title = {Compositions of Resolvents: Fixed Points Sets and Set of Cycles},
author = {Salihah Thabet Alwadani},
journal= {arXiv preprint arXiv:2406.01041},
year = {2024}
}