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Strong convergence of strict pseudo-contractions in q-uniformly smooth Banach space
Fujun Liu,Fujun Liu,Qinghui Gao 한국전산응용수학회 2015 Journal of applied mathematics & informatics Vol.33 No.1
In this paper, we introduce a general iterativealgorithm for finding a common element of the common fixed point setof an infinite family of $\lambda_i$-strict pseudo-contractions andthe solution set of a general system of variational inclusions fortwo inverse strongly accretive operators in $q$-uniformly smoothBanach spaces. Then, we analyze the strong convergence of the iterative sequence generated by the proposed iterative algorithm under mild conditions.
STRONG CONVERGENCE OF STRICT PSEUDO-CONTRACTIONS IN Q-UNIFORMLY SMOOTH BANACH SPACES
Pei, Yonggang,Liu, Fujun,Gao, Qinghui The Korean Society for Computational and Applied M 2015 Journal of applied mathematics & informatics Vol.33 No.1
In this paper, we introduce a general iterative algorithm for finding a common element of the common fixed point set of an infinite family of ${\lambda}_i$-strict pseudo-contractions and the solution set of a general system of variational inclusions for two inverse strongly accretive operators in q-uniformly smooth Banach spaces. Then, we analyze the strong convergence of the iterative sequence generated by the proposed iterative algorithm under mild conditions.
Shuili Zhang,Yu Miao,Xiaoyan Xu,Qinghui Gao 한국통계학회 2018 Journal of the Korean Statistical Society Vol.47 No.4
In the paper, we shall establish some limit theorems for the nonparametric estimator of the regression model, which include Lp-convergence, complete convergence, and strong convergence of the estimator. These results supplement and improve some known works.