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

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.