Strong convergence theorems for a semigroup of nonexpansive mappings in Banach spaces

DOI10.1080/00207160902887515zbMath1206.47071OpenAlexW2150651865MaRDI QIDQ3056377

Huimin He, Ru Dong Chen, Rade P. Lazović, Ljubomir B. Ćirić

Publication date: 12 November 2010

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160902887515

zbMATH Keywords

fixed pointsstrong convergencereflexive Banach spacescontraction mappingsnonexpansive semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (1)

Fixed points of α-dominated mappings on dislocated quasi metric spaces

Cites Work

• Strong convergence to common fixed points of families of nonexpansive mappings
• An iterative approach to quadratic optimization
• Viscosity approximation methods for nonexpansive mappings
• On Mann implicit iterations for strongly accretive and strongly pseudo-contractive mappings
• Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
• Modified Ishikawa Iteration Process for Nonlinear Lipschitz Generalized Strongly Pseudo-Contractive Operators in Arbitrary Banach Spaces
• A strong convergence theorem for contraction semigroups in Banach spaces

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