Convergence theorems of subgradient extragradient algorithm for solving variational inequalities and a convex feasibility problem

Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E ∗ . In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to approximate a common element of solutions of variational in...

Celý popis

Uložené v:
Podrobná bibliografia
Vydané v:Fixed point theory and algorithms for sciences and engineering Ročník 2018; číslo 1; s. 1 - 14
Hlavní autori: Chidume, C. E., Nnakwe, M. O.
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Cham Springer International Publishing 18.06.2018
Springer Nature B.V
SpringerOpen
Predmet:
Analysis
Applications of Mathematics
Banach spaces
Differential Geometry
Fixed points (mathematics)
Iterative algorithms
Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Relatively nonexpansive maps
Subgradient extragradient algorithm
Theorems
Topology
Variational inequality
47H10
47J20
Variational inequality
47H09
Relatively nonexpansive maps
47J05
Subgradient extragradient algorithm
47J25
ISSN:1687-1812, 1687-1812, 2730-5422
On-line prístup:Získať plný text
Tagy: Pridať tag
Žiadne tagy, Buďte prvý, kto otaguje tento záznam!
Popis
Shrnutí:Let C be a nonempty closed and convex subset of a uniformly smooth and 2-uniformly convex real Banach space E with dual space E ∗ . In this paper, a Krasnoselskii-type subgradient extragradient iterative algorithm is constructed and used to approximate a common element of solutions of variational inequality problems and fixed points of a countable family of relatively nonexpansive maps. The theorems proved are improvement of the results of Censor et al. (J. Optim. Theory Appl. 148:318–335, 2011 ).
Bibliografia:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1812
1687-1812
2730-5422
DOI:10.1186/s13663-018-0641-4