Convergence theorems for \(\lambda \)-strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
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Publication:966559
DOI10.1007/s10114-010-7341-2zbMath1226.47100OpenAlexW2107762490MaRDI QIDQ966559
Publication date: 23 April 2010
Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10114-010-7341-2
strong convergence\(q\)-uniformly smooth Banach spacesIshikawa-like iterationnormal Mann iteration\(\lambda \)-strict pseudo contraction
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items (12)
Iterative process for a strictly pseudo-contractive mapping in uniformly convex Banach spaces ⋮ Convergence analysis for a system of generalized equilibrium problems and a countable family of strict pseudocontractions ⋮ An iterative algorithm for a general system of variational inequalities and fixed point problems in \(q\)-uniformly smooth Banach spaces ⋮ Mann-Dotson's algorithm for a countable family of non-self strict pseudo-contractive mappings ⋮ On variational inclusion and common fixed point problems in \(q\)-uniformly smooth Banach spaces ⋮ Strong convergence for a countable family of strict pseudocontractions in -uniformly smooth Banach spaces ⋮ Convergence theorems for accretive operators with nonlinear mappings in Banach spaces ⋮ Weak convergence theorems for strict pseudo-contractions in Banach spaces ⋮ Boundary Point Method and Mann-Dotson’s Algorithm for Nonself Strict Pseudo-contractive Mappings in Uniformly Smooth Banach Spaces ⋮ Weak and strong convergence theorems for a countable family of strict pseudocontractions in Banach spaces ⋮ A Method for Solving the Variational Inequality Problem and Fixed Point Problems in Banach Spaces ⋮ Fixed point solutions for variational inequalities in image restoration over \(q\)-uniformly smooth Banach spaces
Cites Work
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- Some geometric properties related to the fixed point theory for nonexpansive mappings
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