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

TL;DR

This paper establishes a mean convergence theorem for mappings with attractive points in Hilbert spaces, extending existing results by utilizing quasinonexpansive mappings and their convergence properties.

Contribution

It introduces a new mean convergence theorem for mappings with attractive points in Hilbert spaces using quasinonexpansive extensions.

Findings

Proves a mean convergence theorem for mappings with attractive points.

Extends convergence results to quasinonexpansive mappings.

Provides a framework for analyzing convergence in Hilbert spaces.

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.