Strong convergence of viscosity iterations with error terms for cosine families in Banach spaces
DOI10.1007/s43036-019-00002-3zbMath1481.47098OpenAlexW2996468561MaRDI QIDQ2289827
Publication date: 27 January 2020
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s43036-019-00002-3
strong convergencecommon fixed pointBanach limitnonexpansive cosine familyuniformly Gâteaux differentiable spaceviscosity iteration with error term
Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15) Operator sine and cosine functions and higher-order Cauchy problems (47D09)
Cites Work
- Viscosity approximation methods for pseudo-contractive semigroups in Banach spaces
- A new general iterative scheme for split variational inclusion and fixed point problems of \(k\)-strict pseudo-contraction mappings with convergence analysis
- Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
- Convergence analysis of a monotone projection algorithm in reflexive Banach spaces
- Viscosity approximation to common fixed points of a nonexpansive semigroup with a generalized contraction mapping
- Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
- Iterative approximation of common attractive points of further generalized hybrid mappings
- Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces
- Generalized viscosity approximation methods for mixed equilibrium problems and fixed point problems
- Successive approximations for common fixed points of a family of \(\alpha \)-nonexpansive mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Zeros of accretive operators
- Viscosity approximation methods for fixed-points problems
- Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems
- Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
- Viscosity approximation method for nonexpansive semigroups in Banach spaces
- A characterization of strict convexity of Banach spaces and other uses of duality mappings
- Some geometric properties related to the fixed point theory for nonexpansive mappings
- Inequalities in Banach spaces with applications
- On strong convergence to common fixed points of nonexpansive semigroups in Hilbert spaces
- The normalized duality mappings of Banach spaces
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- A strong convergence theorem for contraction semigroups in Banach spaces
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