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

• Articles • Previous Articles     Next Articles

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   

  1. 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

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.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals