A new approach to the approximation of common fixed points of an infinite family of relatively quasinonexpansive mappings with applications

DOI10.1155/2012/437430zbMath1253.65081OpenAlexW2116557308WikidataQ58695159 ScholiaQ58695159MaRDI QIDQ1925365

Wei-Qi Deng

Publication date: 18 December 2012

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

Full work available at URL: https://doi.org/10.1155/2012/437430

zbMATH Keywords

iteration algorithmcommon fixed pointsmonotone CQ methodrelatively quasinonexpansive mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15)

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A new iterative algorithm for split solution problems of quasi-nonexpansive mappings

Cites Work

• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Monotone CQ iteration processes for nonexpansive semigroups and maximal monotone operators
• Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
• Weak convergence theorems for nonexpansive mappings in Banach spaces
• An example concerning fixed points
• Projection and proximal point methods: Convergence results and counterexamples.
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Strong convergence theorems for relatively nonexpansive mappings in a Banach space
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
• Block iterative methods for a finite family of relatively nonexpansive mappings in Banach spaces
• Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Mean Value Methods in Iteration
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