The hybrid block iterative algorithm for solving the system of equilibrium problems and variational inequality problems

In this paper, we construct the hybrid block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi - ϕ - asymptotically nonexpansive mappings, the set of the solutions of the variational inequality for an α -inverse-str...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:SpringerPlus Ročník 1; číslo 1; s. 8 - 14
Hlavní autori: Saewan, Siwaporn, Kumam, Poom
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 01.12.2012
Springer Nature B.V
Springer International Publishing AG
Predmet:
Algorithms
Humanities and Social Sciences
Mathematics
multidisciplinary
Science
Science (multidisciplinary)
A system of equilibrium problem
47H10
Hybrid block iterative algorithm
Variational inequality
47H09
Inverse-strongly monotone operator
Uniformly quasi
asymptotically nonexpansive mapping
47H05
Uniformly quasi- ϕ-asymptotically nonexpansive mapping
ISSN:2193-1801, 2193-1801
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:In this paper, we construct the hybrid block iterative algorithm for finding a common element of the set of common fixed points of an infinite family of closed and uniformly quasi - ϕ - asymptotically nonexpansive mappings, the set of the solutions of the variational inequality for an α -inverse-strongly monotone operator, and the set of solutions of a system of equilibrium problems. Moreover, we obtain a strong convergence theorem for the sequence generated by this process in the framework Banach spaces. The results presented in this paper improve and generalize some well-known results in the literature.
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
content type line 23
ISSN:2193-1801
2193-1801
DOI:10.1186/2193-1801-1-8