On Strong Convergence of Halpern’s Method for Quasi-Nonexpansive Mappings in Hilbert Spaces

Autor:	Jesus Garcia Falset, Enrique Llorens-Fuster, Giuseppe Marino, Angela Rugiano
Jazyk:	angličtina
Rok vydání:	2016
Předmět:	approximation algorithm fixed point variational inequality Mathematics QA1-939
Zdroj:	Mathematical Modelling and Analysis, Vol 21, Iss 1 (2016)
Druh dokumentu:	article
ISSN:	13926292 1392-6292 1648-3510
DOI:	10.3846/13926292.2016.1132787
Popis:	In this paper, we introduce a Halpern’s type method to approximate common fixed points of a nonexpansive mapping T and a strongly quasi-nonexpansive mappings S, defined in a Hilbert space, such that I − S is demiclosed at 0. The result shows as the same algorithm converges to different points, depending on the assumptions of the coefficients. Moreover, a numerical example of our iterative scheme is given.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/20fde99a849c4722af91ccfc09592d1c Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF