Viscosity iteration in CAT(k) spaces

2012/07/17 by Bożena Piątek, Bozena Piatek, Piatek, Bozena
Computer Science · Mathematics · #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Metric Geometry (math.MG) #Optimization and Variational Analysis #math.MG

paper · pdf · doi:10.48550/arxiv.1207.3949

arxiv created 2012/07/17 · openalex publication_date 2012/07/17 · arxiv updated 2012/07/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the approximation of fixed points of nonexpansive mappings in CAT(k) spaces. We show that the iterative sequence generated by the Moudafi's viscosity type algorithm converges to one of the fixed points of the nonexpansive mapping depending on the contraction applied in the algorithm.

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