Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space
DOI10.1186/1687-1812-2012-16zbMath1475.47072OpenAlexW2113174981WikidataQ59290427 ScholiaQ59290427MaRDI QIDQ367409
Jing Quan, Min Liu, Shi Sheng Zhang
Publication date: 16 September 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2012-16
Banach spacesstrong convergenceweak convergenceimplicit iterative processpseudocontractive semigroups
Semigroups of nonlinear operators (47H20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
- Implicit iteration process for common fixed points of a finite family of strictly pseudocontractive maps
- Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
- Strong convergence theorems for strongly continuous semigroups of pseudocontractions
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- Implicit iterative algorithms for treating strongly continuous semigroups of Lipschitz pseudocontractions
- Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces
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- Convergence theorems of common fixed points for a finite family of Lipschitz pseudocontractions in Banach spaces
- Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
- A strong convergence theorem for contraction semigroups in Banach spaces
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