A new one-step iterative scheme for approximating common fixed points of two multivalued nonexpansive mappings

DOI10.1007/S12215-010-0012-4zbMath1226.47077OpenAlexW1996031790MaRDI QIDQ977326

Mujahid Abbas, Billy E. Rhoades, Safeer Hussain Khan

Publication date: 21 June 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0012-4

zbMATH Keywords

strong convergenceweak convergencenonexpansive mappingcommon fixed pointone-step iterative schemecondition (\(A^{\prime}\))

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (5)

Mixed type iterations for multivalued nonexpansive mappings in hyperbolic spaces ⋮ Mann iterative process for pseudocontractive mappings ⋮ Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces ⋮ Viscosity approximation methods for multivalued nonexpansive mappings ⋮ Existence and convergence theorems for Berinde nonexpansive multivalued mapping on Banach spaces

Cites Work

• Weak and strong convergence of a scheme with errors for two nonexpansive mappings
• Convergence of iterates with errors of asymptotically quasi-nonexpansive mappings and applications
• Erratum to ``Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces [Comput. Math. Appl. 54 (2007) 872-877]
• A general principle for Ishikawa iterations for multi-valued mappings
• Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces
• Multi-valued contraction mappings
• Convergence of Ishikawa Iterates for a Multi-Valued Mapping with a Fixed Point
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Continuous Dependence of Fixed Point Sets
• Weak convergence of the sequence of successive approximations for nonexpansive mappings
• Mean Value Methods in Iteration

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