A New Hybrid Iteration Method forI-Asymptotically Nonexpansive Mappings

DOI10.1080/01630563.2016.1179203zbMath1381.47074OpenAlexW2340705874MaRDI QIDQ2829593

Esra Yolacan, Hukmi Kiziltunç

Publication date: 8 November 2016

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2016.1179203

zbMATH Keywords

convergence theoremscommon fixed pointhybrid iteration method\(I\)-asymptotically nonexpansive

Mathematics Subject Classification ID

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

Cites Work

• Convergence of hybrid steepest-descent methods for variational inequalities
• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
• Convergence theorem for \(I\)-asymptotically quasi-nonexpansive mapping in Hilbert space
• On the convergence theorems of implicit iteration process for a finite family of \(I\)-asymptotically nonexpansive mappings
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Weak and strong convergence of an iterative method for nonexpansive mappings in Hilbert spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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