Modified shrinking projection methods in CAT(0) space

DOI10.3176/PROC.2022.3.07OpenAlexW4293091540MaRDI QIDQ5866613

Watcharaporn Cholamjiak, Sabiya Khatoon, Izhar Uddin

Publication date: 22 September 2022

Published in: Proceedings of the Estonian Academy of Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3176/proc.2022.3.07

zbMATH Keywords

fixed pointCAT(0) spacedirected graph\(\mathscr{G}\)-nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

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• Quasilinearization and curvature of Aleksandrov spaces
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Convergence analysis for a new two-step iteration process for G-nonexpansive mappings with directed graphs
• Remarks on Some Fixed Point Theorems
• MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES
• A modified shrinking projection methods for numerical reckoning fixed points of G-nonexpansive mappings in Hilbert spaces with graphs
• The contraction principle for mappings on a metric space with a graph
• Convergence point of G-nonexpansive mappings in Banach spaces endowed with graphs applicable in image deblurring and signal recovering problems

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