Perturbation resilience and superiorization methodology of averaged mappings

作者：He, Hongjin; Xu, Hong-Kun^*

来源：Inverse Problems, 2017, 33(4): 044007.

DOI：10.1088/1361-6420/33/4/044007

• constrained convex minimization
• averaged mapping
• bounded perturbation resilience
• superiorization

We first prove the bounded perturbation resilience for the successive fixed point algorithm of averaged mappings, which extends the string-averaging projection and block-iterative projection methods. We then apply the superiorization methodology to a constrained convex minimization problem where the constraint set is the intersection of fixed point sets of a finite family of averaged mappings.

• 出版日期2017-4
• 单位杭州电子科技大学