Strong convergence theorems for strongly continuous semigroups of pseudocontractions

DOI10.1016/j.aml.2011.05.003zbMath1242.47045OpenAlexW2049195034MaRDI QIDQ654199

Ravi P. Agarwal, Xiaolong Qin, Kang, Shin Min

Publication date: 28 December 2011

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.05.003

zbMATH Keywords

strong convergencecommon fixed pointimplicit algorithmpseudocontractionnon-expansive map

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space ⋮ Existence and convergence theorems concerning common fixed points of nonlinear semigroups of weak contractions ⋮ Hybrid projection algorithms for treating common fixed points of a family of demicontinuous pseudocontractions ⋮ Strong Convergence of New Iteration Process for a Strongly Continuous Semigroup of Asymptotically Pseudocontractive Mappings

Cites Work

• On strong convergence in real Banach spaces obtained by dropping the Lipschitz condition
• Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
• Common fixed points of two multivalued nonexpansive mappings by one-step iterative scheme
• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Strong convergence theorems for the implicit iteration process for a finite family of hemicontractive mappings in Banach space
• On the strong convergence of the implicit iterative processes with errors for a finite family of asymptotically nonexpansive mappings
• Implicit iterative algorithms for treating strongly continuous semigroups of Lipschitz pseudocontractions
• Convergence theorems of common fixed points for pseudocontractive mappings
• Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces
• Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
• Zeros of accretive operators
• Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS

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