Δ-Convergence of Products of Operators in p-Uniformly Convex Metric Spaces

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 08 May 2020 English Publisher:MDPI AGJournal:Mathematics, volume 8, page 741 (eissn: 2227-7390,

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Authors: Choi, Byoung Jin;

doi: 10.3390/math8050741

Δ-Convergence of Products of Operators in p-Uniformly Convex Metric Spaces

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Abstract

In this paper, we first introduce the new notion of p-strongly quasi-nonexpansive maps on p-uniformly convex metric spaces, and then we study the Δ (weak)-convergence of products of p-strongly quasi-nonexpansive maps on p-uniformly convex metric spaces. Furthermore, using the result, we prove the Δ -convergence of the weighted averaged method for projection operators.

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Jeju National University
Korea (Republic of)

Keywords

convex feasibility problem, QA1-939, weighted average projection method, <i>p</i>-strongly quasi-nonexpansive maps, Mathematics, <i>p</i>-uniformly convex metric spaces, Δ-convergence

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