International Journal of Applied Mathematical Sciences
Open Access
  • Year: 2006
  • Volume: 3
  • Issue: 1

On Convergence of Three Classes of Implicit Iteration Methods

  • Author:
  • Zeqing Liu1, Hongyan Guan2, Shin Min Kang3,, Hyung Gook Kim4
  • Total Page Count: 9
  • Page Number: 1 to 9

1Department of Mathematics, Liaoning Normal University, P. O. Box 200, Dalian, Liaoning 116029, People's Republic of China. Email: zeqingliu@dl.cn

2Department of Mathematics, Shenyang Normal University, Shenyang, Liaoning 110000, People's Republic of China. Email: hongyanguan@163.com

3Department of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 660701, Korea. Email: smkang@nongae.gsnu.ac.kr

4Department of Mathematics, Gyeongsang National University, Jinju 660701, Korea. Email: math@nongae.gsnu.ac.kr

*Corresponding author.

AMS subject classification: 47H05, 47H10, 47H15.

Abstract

In this paper, a few convergence results of three classes of implicit iteration methods for a finite family of Lipschitz mappings in Banach spaces are established.

Keywords

Lipschitz mappings, implicit iteration methods, common fixed points, convergence