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

Yuchao Tang; Yong Cai; Liwei Liu

Vol. 18 No. 1 (2013)

Regular Articles

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

Yuchao Tang
Yong Cai
Liwei Liu

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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 xed point of the semigroup of nonexpansive operators. The results of this paper extend and improve some known results in the literature.

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