2017/03/01 by Hongjin He, Hong‐Kun Xu · 1 citation
Computer Science · Mathematics · #Optimization and Variational Analysis #Advanced Optimization Algorithms Research #Fixed Point Theorems Analysis
paper · doi:10.1088/1361-6420/33/4/044007
openalex publication_date 2017/03/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
Abstract 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.