Alternating proximal penalization algorithm for the modified multiple-sets split feasibility problems

作者：Wang, Xueyong^*

来源：JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018, 2018(1): 48.

DOI：10.1186/s13660-018-1641-y

• Multiple-sets feasibility problem
• Alternating direction method
• Penalty method
• Convergence

In this paper, we present an extended alternating proximal penalization algorithm for the modified multiple-sets feasibility problem. For this method, we first show that the sequences generated by the algorithm are summable, which guarantees that the distance between two adjacent iterates converges to zero, and then we establish the global convergence of the algorithm provided that the penalty parameter tends to zero.

• 出版日期2018-2-20
• 单位曲阜师范大学