Convergence theorems of a family of uniformly (L, α)-Lipschitz asymptotically quasi-nonexpansive type mappings

DOI10.1515/dema-2013-0271zbMath1219.47127OpenAlexW4235176140MaRDI QIDQ3010702

Gurucharan Singh Saluja

Publication date: 27 June 2011

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0271

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Convergence of Ishikawa iterates of quasi-nonexpansive mappings
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• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
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• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• APPROXIMATION OF COMMON FIXED POINTS OF A FAMILY OF ASYMPTOTICALLY QUASI-NONEXPANSIVE MAPPINGS
• Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
• ON GENERALIZED ISHIKAWA ITERATION PROCESS AND NONEXPANSIVE MAPPINGS IN BANACH SPACES
• Fixed Points by a New Iteration Method
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Mean Value Methods in Iteration
• Iterative sequences for asymptotically quasi-nonexpansive mappings with error member