Strong Convergence of a Modified Iterative Algorithm for Mixed-Equilibrium Problems in Hilbert Spaces

The purpose of this paper is to study the strong convergence of a modified iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping, as well as the set of...

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Vydáno v:Journal of inequalities and applications Ročník 2008; číslo 1; s. 454181
Hlavní autoři: Gao, Xueliang, Guo, Yunrui
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.01.2008
Springer Nature B.V
SpringerOpen
Témata:
Analysis
Applications of Mathematics
Hilbert space
Mathematical analysis
Mathematics
Mathematics and Statistics
Research Article
Studies
Recent Result
Iterative Algorithm
Nonexpansive Mapping
Variational Inequality
Hilbert Space
ISSN:1029-242X, 1025-5834, 1029-242X
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Shrnutí:The purpose of this paper is to study the strong convergence of a modified iterative scheme to find a common element of the set of common fixed points of a finite family of nonexpansive mappings, the set of solutions of variational inequalities for a relaxed cocoercive mapping, as well as the set of solutions of a mixed-equilibrium problem. Our results extend recent results of Takahashi and Takahashi (2007), Marino and Xu (2006), Combettes and Hirstoaga (2005), Iiduka and Takahashi (2005), and many others.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
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ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1155/2008/454181