Strong Convergence of Hybrid Projection Algorithm for Split Fixed Point Problems in Banach Spaces
倪仁兴 1徐亚军1
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作者信息
1. 绍兴文理学院 数理信息学院,浙江 绍兴 312000
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摘要
在p-一致凸且一致光滑的Banach空间中,利用Bregman投影,构造一新的混合投影迭代算法,逼近Bregman拟严格伪压缩映射不动点集和分裂可行性问题的公共解.目的是将 2017 年Chen J Z,Hu H Y和Ceng L C的研究结果中的迭代系数αn须满足0<c≤αn≤d<1证明对αn≡1或αn≡0时亦成立.所得的结果是对 2017 年Chen J Z,Hu H Y和Ceng L C相应结果的拓展和补充.
Abstract
In p-uniformly convex and uniformly smooth Banach space,a new iterative algorithm is construc-ted to approximate the fixed point set of Bregman quasi-strict pseudocontractive mapping and the common solution of split feasibility problem by the Bregman projection.It is proved that the iterative coefficient αn which is considered to satisfy 0<c<αn≤d<1 in the earlier research results(Chen J Z,Hu H Y,and Ceng L C in 2017)also does work for αn≡1 or αn≡0.Thus,this study not only serves as complement to the former results,but importantly,update their conclusion.
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