Approximation of a Common Fixed Point of Two Nonlinear Mappings with Nonsummable Errors in a Banach Space

DOI10.1007/978-981-15-5455-1_15OpenAlexW3083719555MaRDI QIDQ4958186

Shunsuke Kajiba, Takanori Ibaraki, Yasunori Kimura

Publication date: 7 September 2021

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-981-15-5455-1_15

zbMATH Keywords

iterative schemeerror termcommon fixed pointmetric projectionshrinking projection methodrelatively nonexpansivequasinonexpansive

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Approximation of a zero point of monotone operators with nonsummable errors
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Convergence of best approximations in a smooth Banach space
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Convergence of convex sets and of solutions of variational inequalities
• Inequalities in Banach spaces with applications
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
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