Bulletin of the Australian Mathematical Society

Research Article

STRONG CONVERGENCE OF SOME ALGORITHMS FOR λ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACE

YONGHONG YAOa1, YEONG-CHENG LIOUa2 and GIUSEPPE MARINOa3 c1

a1 Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China (email: yaoyonghong@yahoo.cn)

a2 Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan (email: simplex_liou@hotmail.com)

a3 Dipartimento di Matematica, Università della Calabria, 87036 Arcavacata di Rende (CS), Italy (email: gmarino@unical.it)

Abstract

Two algorithms have been constructed for finding the minimum-norm fixed point of a λ-strict pseudo-contraction T in Hilbert space. It is shown that the proposed algorithms strongly converge to the minimum-norm fixed point of T.

(Received April 15 2011)

2010 Mathematics subject classification

  • primary 47H05; secondary 47H10;
  • 47H17

Keywords and phrases

  • λ-strictly pseudo-contractive mapping;
  • fixed point;
  • algorithm;
  • Hilbert space

Correspondence:

c1 For correspondence; e-mail: gmarino@unical.it

Footnotes

The first author was supported in part by the Colleges and Universities Science and Technology Development Foundation (20091003) of Tianjin, NSFC 11071279 and NSFC 71161001-G0105. The second author was supported in part by NSC 100-2221-E-230-012.