Convergence to common fixed points of averaged mappings without commutativity assumption in Hilbert spaces

DOI10.1016/j.na.2006.08.018zbMath1134.47053OpenAlexW2074503304MaRDI QIDQ2371169

Yonghong Yao, Ru Dong Chen

Publication date: 29 June 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.08.018

zbMATH Keywords

Hilbert spacecommon fixed pointsaveraged 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)

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On Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappings ⋮ Strong convergence of an iterative method for nonexpansive mappings with new control conditions ⋮ On Picard iterations for strongly accretive and strongly pseudo-contractive Lipschitz mappings

Cites Work

• Approximation of fixed points of nonexpansive mappings
• Strong convergence to common fixed points of families of nonexpansive mappings
• An iterative approach to quadratic optimization
• Some problems and results in fixed point theory
• Nonlinear ergodic theorems
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• Strong convergence theorem for asymptotically nonexpansive mappings
• Fixed points of nonexpanding maps
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
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