Compositions of Resolvents: Fixed Points Sets and Set of Cycles

Autor:	Alwadani, Salihah Thabet
Rok vydání:	2024
Předmět:	Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2406.01041 Zobrazit plný text záznamu View this record from Arxiv