Strong convergence of modified Halpern's iterations for a \(k\)-strictly pseudocontractive mapping

DOI10.1186/1029-242X-2013-98zbMath1292.47050WikidataQ59301646 ScholiaQ59301646MaRDI QIDQ2636710

Xiujuan He, Suhong Li, Lingmin Zhang, Li-Hua Li

Publication date: 31 January 2014

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

zbMATH Keywords

strong convergence\(k\)-strictly pseudocontractive mappingmodified Halpern iterations

Mathematics Subject Classification ID

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

Related Items

Strong convergence theorem for strict pseudo-contractions in Hilbert spaces

Cites Work

• Weak and strong convergence theorems for nonspreading-type mappings in Hilbert spaces
• Halpern's iteration in Banach spaces
• Halpern iteration for firmly type nonexpansive mappings
• On Reich's strong convergence theorems for resolvents of accretive operators
• Strong convergence theorems for resolvents of accretive operators in Banach spaces
• Approximation of fixed points of nonexpansive mappings
• Iterative approximation of fixed points of nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Fixed points of nonexpanding maps
• Demiclosedness principle and convergence theorems for strictly pseudocontractive mappings of Browder-Petryshyn type