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

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

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...

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Veröffentlicht in:Mathematics (Basel) 2020-05, Vol.8 (5), p.741
1. Verfasser: Choi, Byoung Jin
Format: Artikel
Sprache:eng
Schlagworte:
Convergence
convex feasibility problem
Food science
Iterative methods
Metric space
Operators
p-strongly quasi-nonexpansive maps
p-uniformly convex metric spaces
Traveling salesman problem
weighted average projection method
Δ-convergence
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Zusammenfassung: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.
ISSN:2227-7390
2227-7390
DOI:10.3390/math8050741