Strong convergence for total asymptotically pseudocontractive semigroups in Banach spaces

DOI10.1186/1687-1812-2012-216zbMath1397.47011OpenAlexW2116383172WikidataQ59290499 ScholiaQ59290499MaRDI QIDQ383377

Jing Quan, Xiong Rui Wang

Publication date: 4 December 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-216

zbMATH Keywords

strong convergencecommon fixed pointdemiclosedness principletotal asymptotically pseudocontractive semigroups

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Numerical methods based on necessary conditions (49M05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Cites Work

• Large strong convergence theorems for total asymptotically strict pseudocontractive semigroup in Banach spaces
• Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in Banach spaces
• On the convergence of implicit iterative processes for asymptotically pseudocontractive mappings in the intermediate sense
• A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
• Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
• Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces
• Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces
• Strong convergence theorems for fixed points of asymptotically pseudocontractive semi-groups
• Common fixed points of a finite family of asymptotically pseudocontractive maps
• Approximating fixed points of total asymptotically nonexpansive mappings
• Invariant submeans and semigroups of nonexpansive mappings on Banach spaces with normal structure
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• A strong convergence theorem for contraction semigroups in Banach spaces

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