Shrinking projection algorithms for equilibrium problems with a bifunction defined on the dual space of a Banach space

Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied. Under some suitable assumptions, strong and weak convergence results of the shrinking projection algorithms are e...

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Bibliographic Details
Published inFixed point theory and applications (Hindawi Publishing Corporation) Vol. 2011; no. 1
Main Authors Chen, Jia-wei, Je Cho, Yeol, Wan, Zhongping
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 30.11.2011
Subjects
Analysis
Applications of Mathematics
Differential Geometry
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
sunny generalized nonexpansive retraction
shrinking projection algorithm
fixed point
strong and weak convergence
equilibrium problem
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ISSN1687-1812
1687-1812
DOI10.1186/1687-1812-2011-91

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Summary:Shrinking projection algorithms for finding a solution of an equilibrium problem with a bifunction defined on the dual space of a Banach space, in this paper, are introduced and studied. Under some suitable assumptions, strong and weak convergence results of the shrinking projection algorithms are established, respectively. Finally, we give an example to illustrate the algorithms proposed in this paper. 2000 Mathematics Subject Classification: 47H09; 65J15; 90C99.
ISSN:1687-1812
1687-1812
DOI:10.1186/1687-1812-2011-91