Convergence of a new three-step iteration process to common fixed points of three \(G\)-nonexpansive mappings in Banach spaces with directed graphs

DOI10.1007/s13398-020-00872-wOpenAlexW3028844706MaRDI QIDQ2185018

Nguyen Van Dung, Nguyen Trung Hieu

Publication date: 4 June 2020

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-020-00872-w

zbMATH Keywords

Banach spacedirected graph\(G\)-nonexpansive mappingthree-step iteration process

Mathematics Subject Classification ID

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

Related Items (3)

Convergence point of G-nonexpansive mappings in Banach spaces endowed with graphs applicable in image deblurring and signal recovering problems ⋮ Unnamed Item ⋮ Common fixed points of two \(G\)-nonexpansive mappings via a faster iteration procedure

Cites Work

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• On Browder's convergence theorem and Halpern iteration process for \(G\)-nonexpansive mappings in Hilbert spaces endowed with graphs
• Some fixed point results on a metric space with a graph
• Iterative methods for fixed point problems in Hilbert spaces
• On the rate of convergence of Mann, Ishikawa, Noor and SP-iterations for continuous functions on an arbitrary interval
• A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
• Modified Halpern's iteration for fixed point theory of a finite family of \(G\)-nonexpansive mappings endowed with graph
• Common fixed points of \(G\)-nonexpansive mappings on Banach spaces with a graph
• On Berinde's method for comparing iterative processes
• Convergence analysis of SP-iteration for \(G\)-nonexpansive mappings with directed graphs
• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• Hybrid methods for a finite family of G-nonexpansive mappings in Hilbert spaces endowed with graphs
• Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
• Convergence analysis for a new two-step iteration process for G-nonexpansive mappings with directed graphs
• Multivalued Nonexpansive Mappings and Opial's Condition
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• The contraction principle for mappings on a metric space with a graph

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