Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

doi:10.1007/s10483-009-0602-z

Applied Mathematics and Mechanics (English Edition) ›› 2009, Vol. 30 ›› Issue (6): 685-694.doi: https://doi.org/10.1007/s10483-009-0602-z

Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

张石生饶若峰黄家琳

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

收稿日期:2008-12-06 修回日期:2009-03-31 出版日期:2009-06-01 发布日期:2009-06-01

Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

Shi-Sheng ZHANG, Ruo-Feng RAO, Jia-Lin HUANG

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

Received:2008-12-06 Revised:2009-03-31 Online:2009-06-01 Published:2009-06-01

摘要/Abstract

摘要： The main purpose of this paper is to study a new iterative algorithm 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 the Hilbert space. The presented results extend and improve the corresponding results reported in the literature.

中图分类号:

张石生饶若峰黄家琳. Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 685-694.

Shi-Sheng ZHANG;Ruo-Feng RAO;Jia-Lin HUANG. Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces[J]. Applied Mathematics and Mechanics (English Edition), 2009, 30(6): 685-694.

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Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

Strong convergence theorem for a generalized equilibrium problem and a k-strict pseudocontraction in Hilbert spaces

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