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

doi:10.1007/s10483-009-0602-z

Applied Mathematics and Mechanics >

2009 , Vol. 30 >Issue 6: 685 - 694

DOI: https://doi.org/10.1007/s10483-009-0602-z

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

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

Received date: 2008-12-06

Revised date: 2009-03-31

Online published: 2009-06-01

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Abstract

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.

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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, 2009 , 30(6) : 685 -694 . DOI: 10.1007/s10483-009-0602-z

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