Common Fixed Points of Operators with Property (E) in CAT(0) Spaces

Autor:	Andreea Bejenaru, Cristian Ciobanescu
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	CAT(0) space Sn iteration condition (E) Poincaré half-plane Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 3, p 433 (2022)
Druh dokumentu:	article
ISSN:	10030433 2227-7390
DOI:	10.3390/math10030433
Popis:	This paper features the search for common fixed points of two operators in the nonlinear metric setting provided by CAT(0) spaces. The analysis is performed for the generalized nonexpansivity condition known as condition (E), Garcia-Falset et al., and relies on the three step iteration procedure Sn by Sintunavarat and Pitea. The convergence analysis reveals the approximate solutions as limit points for an iteration sequence, where both the nonexpansive mappings to be analyzed and the specific curved structure of the framework interfere. To point out properly the meaning of this approach, we provide also examples accompanied by numerical simulations. The Poincaré half-plane is one of the non-positively curved setting to be used.
Databáze:	Directory of Open Access Journals
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