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

Part of: Nonlinear operators and their properties

Published online by Cambridge University Press:  02 February 2012

YONGHONG YAO ,
YEONG-CHENG LIOU  and
GIUSEPPE MARINO
YONGHONG YAO
Affiliation:
Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China (email: [email protected])
YEONG-CHENG LIOU
Affiliation:
Department of Information Management, Cheng Shiu University, Kaohsiung 833, Taiwan (email: [email protected])
GIUSEPPE MARINO*
Affiliation:
Dipartimento di Matematica, Università della Calabria, 87036 Arcavacata di Rende (CS), Italy (email: [email protected])
*
✉For correspondence; e-mail: [email protected]
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Abstract

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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.

Keywords

λ-strictly pseudo-contractive mappingfixed pointalgorithmHilbert space

MSC classification

Secondary: 47H05: Monotone operators and generalizations
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 85 , Issue 2 , April 2012 , pp. 232 - 240
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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.

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