Convergence of a new modified Ishikawa type iteration for common fixed points of total asymptotically strict pseudocontractive semigroups

DOI10.1155/2013/319241zbMath1290.47071OpenAlexW2070281829WikidataQ58915926 ScholiaQ58915926MaRDI QIDQ2015357

Chunjie Wang, Yuan-Heng Wang

Publication date: 23 June 2014

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/319241

Mathematics Subject Classification ID

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

Related Items

Some common fixed point results for three total asymptotically pseudocontractive mappings ⋮ Strong convergence theorems for common fixed points of an infinite family of asymptotically nonexpansive mappings

Cites Work

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• Large strong convergence theorems for total asymptotically strict pseudocontractive semigroup in Banach spaces
• Strong and weak convergence of an implicit iterative process for pseudocontractive semigroups in Banach space
• Strong convergence for asymptotical pseudocontractions with the demiclosedness principle in Banach spaces
• The split common fixed point problem for total asymptotically strictly pseudocontractive mappings
• Strong convergence theorems for Lipschitzian demicontraction semigroups in Banach spaces
• Convergence theorem of common fixed points for Lipschitzian pseudo-contraction semi-groups in Banach spaces
• Viscosity approximation of common fixed points for \(L\)-Lipschitzian semigroup of pseudocontractive mappings in Banach spaces
• Strong convergence of the iterative methods for hierarchical fixed point problems of an infinite family of strictly nonself pseudocontractions
• Strong convergence theorems for asymptotically weak \(G\)-pseudo-\(\Psi\)-contractive non-self-mappings with the generalized projection in Banach spaces
• Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
• Common fixed points of a finite family of asymptotically pseudocontractive maps

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