Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842016 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 9 Pages |
Abstract
In this paper, under the framework of real reflexive Banach space which admits a weakly sequentially continuous duality mapping from EE to E∗E∗, we study the strong convergence of an implicit and an explicit composite viscosity approximation algorithm (I) and (II), respectively for a pseudocontractive mapping TT by using the weakly contractive mapping ff as follows: equation(I)xt,s=tf(xt,s)+(1−t)yt,sxt,s=tf(xt,s)+(1−t)yt,syt,s=sxt,s+(1−s)Txt,syt,s=sxt,s+(1−s)Txt,s and equation(II)xn+1=αnf(xn)+(1−αn)yn,xn+1=αnf(xn)+(1−αn)yn,yn=βnxn+(1−βn)Txn,n≥0. Our results unify, improve and complement several recent ones existing in the current literature.
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Suhong Li, Yongfu Su, Lingmin Zhang, Huijuan Zhao, Lihua Li,