Convergence theorems for \(G\)-nonexpansive mappings in convex metric spaces with a directed graph

DOI10.1007/s12215-020-00535-0zbMath1476.65090OpenAlexW3088846746MaRDI QIDQ2047467

Godwin Amechi Okeke

Publication date: 20 August 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00535-0

zbMATH Keywords

fixed pointdirected graphiterative schemes\(G\)-nonexpansive mappingsconvex metric spaces endowed with a directed graph

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15) Special maps on metric spaces (54E40)

Cites Work

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• The contraction principle for mappings on a metric space with a graph
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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