Mean convergence theorems with respect to attractive points in a Hilbert space

2022/05/23 by Koji Aoyama, Aoyama, Koji, Masashi Toyoda +1
Computer Science · Mathematics · #Applied mathematics #Compact convergence #Computer science #Convergence (economics) #Economics #Extension (predicate logic) #FOS: Mathematics #Fixed Point Theorems Analysis #Functional Analysis (math.FA) #Geometry #Hilbert space #Isolated point #Mathematical analysis #Mathematical optimization #Mathematics #Modes of convergence (annotated index) #Nonlinear Differential Equations Analysis #Optimization and Variational Analysis #Point (geometry) #Pure mathematics #Rate of convergence #Space (punctuation) #Space mapping #Topological space #Topological vector space #Weak convergence

paper · pdf · doi:10.48550/arxiv.2205.11045

openalex publication_date 2022/05/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

In this paper, we show a mean convergence theorem for a mapping with an attractive point in a Hilbert space by using a quasinonexpansive extension of the mapping and a mean convergence theorem for a quasinonexpansive mapping.

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