General iterative methods for generalized equilibrium problems and fixed point problems of k-strict pseudo-contractions

In this paper, we modify the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of k -strictly pseudo-contractive nonself mappings. Strong convergence theorems are established unde...

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Bibliographic Details
Published in:Fixed point theory and algorithms for sciences and engineering 2012-07, Vol.2012 (1), p.1-15, Article 125
Main Authors: Wen, Dao-Jun, Chen, Yi-An
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Approximation
Convergence
Differential Geometry
Fixed points (mathematics)
Hilbert space
Inequalities
Iterative methods
Mapping
Mathematical analysis
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Theorems
Topology
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Summary:In this paper, we modify the general iterative method to approximate a common element of the set of solutions of generalized equilibrium problems and the set of common fixed points of a finite family of k -strictly pseudo-contractive nonself mappings. Strong convergence theorems are established under some suitable conditions in a real Hilbert space, which also solves some variation inequality problems. Results presented in this paper may be viewed as a refinement and important generalizations of the previously known results announced by many other authors. MSC: 47H05, 47H09, 47H10.
ISSN:1687-1812
1687-1820
1687-1812
2730-5422
DOI:10.1186/1687-1812-2012-125