Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces

ZHANG Shi-sheng; RAO Ruo-feng; HUANG Jia-lin

doi:10.3879/j.issn.1000-0887.2009.06.002

Volume 30 Issue 6

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ZHANG Shi-sheng, RAO Ruo-feng, HUANG Jia-lin. Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces[J]. Applied Mathematics and Mechanics, 2009, 30(6): 638-647. doi: 10.3879/j.issn.1000-0887.2009.06.002

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Strong Convergence Theorem for a Generalized Equilibrium Problem and k-Strict Pseudocontraction in Hilbert Spaces

doi: 10.3879/j.issn.1000-0887.2009.06.002

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China

Received Date: 2008-12-06
Rev Recd Date: 2009-03-31
Publish Date: 2009-06-15

Abstract

Abstract

The main purpose is to introduce and study a new iterative algorithom for finding a common element of the set of solutions for a generalized equilibrium problem and the set of fixed points for a k-strict pseudocontractive mapping in Hilbert space.The results presented extend and improve the corresponding results announced by many others.
- k-strict pseudocontractive mapping,
- equilibrium problem,
- α-inverse-strongly monotone mapping,
- variational inequality

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References(9)

References

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