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Mathematical Communications, Vol. 18 No. 1, 2013.

Original scientific paper

Approximation to minimum-norm common fixed point of a semigroup of nonexpansive operators

Yuchao Tang ; Department of Mathematics, NanChang University, P. R. China
Yong Cai ; Department of Mathematics, NanChang University, P. R. China
Liwei Liu ; Department of Mathematics, NanChang University, P. R. China

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Abstract

The purpose of this paper is to introduce a new iterative algorithm for a semi-group of nonexpansive operators in Hilbert space. We prove that the proposed iterative algorithm converges strongly to the minimum-norm common fixed point of the semigroup
of nonexpansive operators. The results of this paper extend and improve some known results in the literature.

Keywords

common fixed point; minimum-norm; semigroup; nonexpansive operators

Hrčak ID:

101402

URI

https://hrcak.srce.hr/101402

Publication date:

10.5.2013.

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