Iterative methods for vector equilibrium and fixed point problems in Hilbert spaces

Autor:	San-hua Wang, Yu-xin Zhang, Wen-jun Huang
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Vector equilibrium problem Fixed point problem Iterative algorithm Convergence analysis Mathematics QA1-939
Zdroj:	Journal of Inequalities and Applications, Vol 2022, Iss 1, Pp 1-17 (2022)
Druh dokumentu:	article
ISSN:	1029-242X
DOI:	10.1186/s13660-022-02868-z
Popis:	Abstract In this paper, algorithms for finding common solutions of strong vector equilibrium and fixed point problems of multivalued mappings are considered. First, a Minty vector equilibrium problem is introduced and the relationship between the Minty vector equilibrium problem and the strong equilibrium problem is discussed. Then, by applying the Minty vector equilibrium problem, projection iterative methods are proposed and some convergence results are established in Hilbert spaces. The main results obtained in this paper develop and improve some recent works in this field.
Databáze:	Directory of Open Access Journals
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