Convergence to a common fixed point of a finite family of nonexpansive mappings on the unit sphere of a Hilbert space

2020/02/11 by Tatsuki Ezawa, Ezawa, Tatsuki
Computer Science · Mathematics · #47H10 #Advanced Optimization Algorithms Research #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2002.04305

openalex publication_date 2020/02/11 · openalex created_date 2020/02/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider the CQ projection method and the shrinking projection method given by a finite family of nonexpansive mappings of the unit sphere of a real Hilbert space, and prove strong convergence theorems to common fixed points of the mappings.

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