New iteration scheme for numerical reckoning fixed points of nonexpansive mappings

DOI10.1186/1029-242X-2014-328zbMath1353.47111WikidataQ59321055 ScholiaQ59321055MaRDI QIDQ257871

Mihai Postolache, Dipti Thakur, Balwant Singh Thakur

Publication date: 17 March 2016

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

zbMATH Keywords

strong convergenceweak convergencefixed pointnonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Uses Software

• Matlab

Cites Work

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• Strong convergence of modified Mann iterations
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• Picard iteration converges faster than Mann iteration for a class of quasi-contractive operators
• COMMON FIXED POINTS OF TWO NONEXPANSIVE MAPPINGS BY A MODIFIED FASTER ITERATION SCHEME
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Fixed Points by a New Iteration Method
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration

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