AN ITERATIVE METHOD FOR SPLIT VARIATIONAL INCLUSION PROBLEM AND FIXED POINT PROBLEM FOR A FAMILY OF GENERALIZED ASYMPTOTICALLY NONEXPANSIVE SEMIGROUP

• 作者: Lijun Chen
• 来源期刊: 应用数学年刊：英文版
• 学科: 数学
• 年，卷（期）: 2017,（2）
• 页码范围: 139-154
• 页数: 16页
• 分类号: O1

摘要

In this paper, strong convergence of an iterative sequence is proved, which computes an approximate solution of the set of solutions of split variational inclusion problem, the set of fixed points of a nonexpansive mapping and the set of common fixed points of a family of generalized asymptotically nonexpansive semigroup. Results obtained in this paper extend and unify the previously known results in the previous literatures.