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

Byoung Jin Choi
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Byoung Jin Choi: Department of Mathematics Education, Jeju National University, Jeju 63243, Korea

Mathematics, 2020, vol. 8, issue 5, 1-8

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.

Keywords: convex feasibility problem; p -strongly quasi-nonexpansive maps; p -uniformly convex metric spaces; weighted average projection method; ?-convergence (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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