Triple Hierarchical Variational Inequalities, Systems of Variational Inequalities, and Fixed Point Problems

Autor:	Lu-Chuan Ceng, Qing Yuan
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	multiple hybrid implicit iteration method triple hierarchical constrained variational inequality general system of variational inequalities fixed point asymptotically nonexpansive mapping pseudocontractive mapping strong convergence Hilbert spaces Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 2, p 187 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7020187
Popis:	In this paper, we introduce a multiple hybrid implicit iteration method for finding a solution for a monotone variational inequality with a variational inequality constraint over the common solution set of a general system of variational inequalities, and a common fixed point problem of a countable family of uniformly Lipschitzian pseudocontractive mappings and an asymptotically nonexpansive mapping in Hilbert spaces. Strong convergence of the proposed method to the unique solution of the problem is established under some suitable assumptions.
Databáze:	Directory of Open Access Journals
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