A weak convergence theorem for common fixed points of two nonlinear mappings in Hilbert spaces

DOI10.1155/2022/9568060OpenAlexW4293438437WikidataQ113757812 ScholiaQ113757812MaRDI QIDQ2111157

Shunsuke Kajiba, Yukio Takeuchi, Takanori Ibaraki

Publication date: 23 December 2022

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/9568060

zbMATH Keywords

fixed pointsweak convergenceattractive pointsnonlinear mappings

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Cites Work

• Fixed point theorems and weak convergence theorems for generalized hybrid mappings in Hilbert spaces
• Fixed point theory for a class of generalized nonexpansive mappings
• Fixed point theorems for a class of nonlinear mappings related to maximal monotone operators in Banach spaces
• Common fixed points and iteration of commuting nonexpansive mappings
• A common fixed point theorem for a commuting family of nonexpansive mappings
• Strong convergence to common fixed points of families of nonexpansive mappings
• Convergence theorems to common fixed points for infinite families of nonexpansive mappings in strictly convex Banach spaces
• Strong convergence theorems for commutative semigroups of continuous linear operators on Banach spaces
• Fixed-point theorems for families of contraction mappings
• Common fixed points for commuting contraction mappings
• Approximating common fixed points of two nonexpansive mappings in Banach spaces
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• Fixed points of nonexpanding maps
• Mean Value Methods in Iteration
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